\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  13.0 & -5.00 x_{1} & -8.00 x_{2} & -8.00 x_{3} & +  1.00 x_{4} & -2.00 x_{5} & + 10.00 x_{6} & +  7.00 x_{7} & -3.00 x_{8} & + 10.00 x_{9} &   & +  1.00 x_{11} & +  3.00 x_{12} & -3.00 x_{13} & -8.00 x_{14} & -7.00 x_{15}\\
 x_{17}   &  -41.0 & +  1.00 x_{1} & -2.00 x_{2} & +  2.00 x_{3} & -6.00 x_{4} & -5.00 x_{5} & -4.00 x_{6} & + 10.00 x_{7} & -5.00 x_{8} & +  8.00 x_{9} & -5.00 x_{10} & -2.00 x_{11} & -2.00 x_{12} &   & -1.00 x_{14} & + 10.00 x_{15}\\
 x_{18}   &  -4.0 & +  5.00 x_{1} & + 10.00 x_{2} & +  5.00 x_{3} & +  8.00 x_{4} & -10.00 x_{5} &   & -5.00 x_{7} &   & +  7.00 x_{9} & -1.00 x_{10} & -3.00 x_{11} & -1.00 x_{12} & -9.00 x_{13} & -2.00 x_{14} & +  3.00 x_{15}\\
 x_{19}   &  -70.0 & -5.00 x_{1} & +  7.00 x_{2} &   & -6.00 x_{4} & +  1.00 x_{5} & -2.00 x_{6} & + 10.00 x_{7} & +  6.00 x_{8} & +  8.00 x_{9} & +  3.00 x_{10} & +  2.00 x_{11} & +  1.00 x_{12} & -8.00 x_{13} & -4.00 x_{14} & +  6.00 x_{15}\\
 x_{20}   &  13.0 & +  9.00 x_{1} & +  7.00 x_{2} & -2.00 x_{3} & -4.00 x_{4} & -9.00 x_{5} & +  9.00 x_{6} & -8.00 x_{7} & -2.00 x_{8} & -4.00 x_{9} & +  2.00 x_{10} & -9.00 x_{11} & +  8.00 x_{12} & -1.00 x_{13} & -1.00 x_{14} & -7.00 x_{15}\\
 x_{21}   &  -2.0 & +  2.00 x_{1} & -8.00 x_{2} & -2.00 x_{3} & +  4.00 x_{4} & +  9.00 x_{5} & -4.00 x_{6} & -3.00 x_{7} & +  4.00 x_{8} & +  4.00 x_{9} & +  4.00 x_{10} & -5.00 x_{11} & +  5.00 x_{12} & -9.00 x_{13} & -7.00 x_{14} & + 10.00 x_{15}\\
 x_{22}   &  17.0 & -8.00 x_{1} & +  6.00 x_{2} & -2.00 x_{3} & -2.00 x_{4} & +  9.00 x_{5} & -4.00 x_{6} & +  8.00 x_{7} & +  6.00 x_{8} & -4.00 x_{9} & +  5.00 x_{10} & -7.00 x_{11} & -7.00 x_{12} & +  1.00 x_{13} & -6.00 x_{14} & +  7.00 x_{15}\\
 x_{23}   &  -42.0 & +  9.00 x_{1} & +  7.00 x_{2} & -7.00 x_{3} & +  2.00 x_{4} & +  2.00 x_{5} & -5.00 x_{6} & +  6.00 x_{7} & -8.00 x_{8} & -1.00 x_{9} &   & +  2.00 x_{11} & +  5.00 x_{12} & +  4.00 x_{13} & -7.00 x_{14} & -1.00 x_{15}\\
 x_{24}   &  32.0 & -3.00 x_{1} & +  2.00 x_{2} & +  1.00 x_{3} & -5.00 x_{4} & +  9.00 x_{5} & -2.00 x_{6} &   & +  4.00 x_{8} & -6.00 x_{9} & -2.00 x_{10} & +  3.00 x_{11} & +  5.00 x_{12} & +  5.00 x_{13} & +  7.00 x_{14} & -10.00 x_{15}\\
 x_{25}   &  -35.0  &   & -7.00 x_{2} & -3.00 x_{3} & +  6.00 x_{4} & +  5.00 x_{5} & +  6.00 x_{6} & +  9.00 x_{7} & +  1.00 x_{8} & +  1.00 x_{9} & -1.00 x_{10} & +  5.00 x_{11} & +  9.00 x_{12} & +  7.00 x_{13} & -2.00 x_{14} & -4.00 x_{15}\\
 x_{26}   &  -4.0 & -7.00 x_{1} & +  5.00 x_{2} & +  4.00 x_{3} & +  1.00 x_{4} & +  5.00 x_{5} & +  7.00 x_{6} & +  3.00 x_{7} & -8.00 x_{8} & -10.00 x_{9} & -5.00 x_{10} & +  2.00 x_{11} & +  4.00 x_{12} & -2.00 x_{13} & +  2.00 x_{14} & +  6.00 x_{15}\\
 x_{27}   &  3.0 & +  9.00 x_{1} & -6.00 x_{2} & -3.00 x_{3} & -5.00 x_{4} & +  7.00 x_{5} & -3.00 x_{6} & +  3.00 x_{7} & +  5.00 x_{8} & -3.00 x_{9} & +  7.00 x_{10} & +  2.00 x_{11} & -8.00 x_{12} & +  2.00 x_{13} & + 10.00 x_{14} & +  4.00 x_{15}\\
 x_{28}   &  5.0 & -9.00 x_{1} & +  4.00 x_{2} & +  8.00 x_{3} & +  4.00 x_{4} & +  9.00 x_{5} & -3.00 x_{6} & +  8.00 x_{7} & -7.00 x_{8} & -2.00 x_{9} & -2.00 x_{10} & +  9.00 x_{11} & -6.00 x_{12} & -4.00 x_{13} & +  1.00 x_{14} & -10.00 x_{15}\\
 x_{29}   &  -12.0 & -4.00 x_{1} & + 10.00 x_{2} & +  1.00 x_{3} & -8.00 x_{4} & +  7.00 x_{5} & +  5.00 x_{6} & -3.00 x_{7} & + 10.00 x_{8} & -10.00 x_{9} & +  3.00 x_{10} & -4.00 x_{11} & +  7.00 x_{12} & -6.00 x_{13} & -3.00 x_{14} & +  5.00 x_{15}\\
 x_{30}   &  23.0 & -8.00 x_{1} & +  3.00 x_{2} & -6.00 x_{3} & -3.00 x_{4} & -2.00 x_{5} & +  9.00 x_{6} & -5.00 x_{7} & +  1.00 x_{8} & +  3.00 x_{9} & -3.00 x_{10} & +  4.00 x_{11} & -9.00 x_{12} & -6.00 x_{13} & -5.00 x_{14} & + 10.00 x_{15}\\
 x_{31}   &  -4.0 & -3.00 x_{1} & +  4.00 x_{2} & +  1.00 x_{3} & -4.00 x_{4} &   & -3.00 x_{6} & +  8.00 x_{7} & +  8.00 x_{8} & -4.00 x_{9} & + 10.00 x_{10} & + 10.00 x_{11} & -3.00 x_{12} & -8.00 x_{13} & -9.00 x_{14} & -7.00 x_{15}\\
 x_{32}   &  -9.0 & +  5.00 x_{1} & +  1.00 x_{2} & -2.00 x_{3} & -2.00 x_{4} & +  4.00 x_{5} & +  2.00 x_{6} & -10.00 x_{7} & -6.00 x_{8} & +  7.00 x_{9} & +  3.00 x_{10} & -7.00 x_{11} & +  3.00 x_{12} & -6.00 x_{13} & +  9.00 x_{14} & +  8.00 x_{15}\\
\hline
z    &  0.0 & +  4.00 x_{1} & -3.00 x_{2} & +  2.00 x_{3} & +  5.00 x_{4} & +  2.00 x_{5} & +  5.00 x_{6} & +  3.00 x_{7} & +  5.00 x_{8} & -4.00 x_{9} & +  5.00 x_{10} & +  2.00 x_{11} & -1.00 x_{12} & -4.00 x_{13} & -2.00 x_{14} & +  5.00 x_{15}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{15}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,32$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  5.00 y_{16} & -1.00 y_{17} & -5.00 y_{18} & +  5.00 y_{19} & -9.00 y_{20} & -2.00 y_{21} & +  8.00 y_{22} & -9.00 y_{23} & +  3.00 y_{24} &   & +  7.00 y_{26} & -9.00 y_{27} & +  9.00 y_{28} & +  4.00 y_{29} & +  8.00 y_{30} & +  3.00 y_{31} & -5.00 y_{32}\\
 y_{2}   &  1.0 & +  8.00 y_{16} & +  2.00 y_{17} & -10.00 y_{18} & -7.00 y_{19} & -7.00 y_{20} & +  8.00 y_{21} & -6.00 y_{22} & -7.00 y_{23} & -2.00 y_{24} & +  7.00 y_{25} & -5.00 y_{26} & +  6.00 y_{27} & -4.00 y_{28} & -10.00 y_{29} & -3.00 y_{30} & -4.00 y_{31} & -1.00 y_{32}\\
 y_{3}   &  1.0 & +  8.00 y_{16} & -2.00 y_{17} & -5.00 y_{18} &   & +  2.00 y_{20} & +  2.00 y_{21} & +  2.00 y_{22} & +  7.00 y_{23} & -1.00 y_{24} & +  3.00 y_{25} & -4.00 y_{26} & +  3.00 y_{27} & -8.00 y_{28} & -1.00 y_{29} & +  6.00 y_{30} & -1.00 y_{31} & +  2.00 y_{32}\\
 y_{4}   &  1.0 & -1.00 y_{16} & +  6.00 y_{17} & -8.00 y_{18} & +  6.00 y_{19} & +  4.00 y_{20} & -4.00 y_{21} & +  2.00 y_{22} & -2.00 y_{23} & +  5.00 y_{24} & -6.00 y_{25} & -1.00 y_{26} & +  5.00 y_{27} & -4.00 y_{28} & +  8.00 y_{29} & +  3.00 y_{30} & +  4.00 y_{31} & +  2.00 y_{32}\\
 y_{5}   &  1.0 & +  2.00 y_{16} & +  5.00 y_{17} & + 10.00 y_{18} & -1.00 y_{19} & +  9.00 y_{20} & -9.00 y_{21} & -9.00 y_{22} & -2.00 y_{23} & -9.00 y_{24} & -5.00 y_{25} & -5.00 y_{26} & -7.00 y_{27} & -9.00 y_{28} & -7.00 y_{29} & +  2.00 y_{30} &   & -4.00 y_{32}\\
 y_{6}   &  1.0 & -10.00 y_{16} & +  4.00 y_{17} &   & +  2.00 y_{19} & -9.00 y_{20} & +  4.00 y_{21} & +  4.00 y_{22} & +  5.00 y_{23} & +  2.00 y_{24} & -6.00 y_{25} & -7.00 y_{26} & +  3.00 y_{27} & +  3.00 y_{28} & -5.00 y_{29} & -9.00 y_{30} & +  3.00 y_{31} & -2.00 y_{32}\\
 y_{7}   &  1.0 & -7.00 y_{16} & -10.00 y_{17} & +  5.00 y_{18} & -10.00 y_{19} & +  8.00 y_{20} & +  3.00 y_{21} & -8.00 y_{22} & -6.00 y_{23} &   & -9.00 y_{25} & -3.00 y_{26} & -3.00 y_{27} & -8.00 y_{28} & +  3.00 y_{29} & +  5.00 y_{30} & -8.00 y_{31} & + 10.00 y_{32}\\
 y_{8}   &  1.0 & +  3.00 y_{16} & +  5.00 y_{17} &   & -6.00 y_{19} & +  2.00 y_{20} & -4.00 y_{21} & -6.00 y_{22} & +  8.00 y_{23} & -4.00 y_{24} & -1.00 y_{25} & +  8.00 y_{26} & -5.00 y_{27} & +  7.00 y_{28} & -10.00 y_{29} & -1.00 y_{30} & -8.00 y_{31} & +  6.00 y_{32}\\
 y_{9}   &  1.0 & -10.00 y_{16} & -8.00 y_{17} & -7.00 y_{18} & -8.00 y_{19} & +  4.00 y_{20} & -4.00 y_{21} & +  4.00 y_{22} & +  1.00 y_{23} & +  6.00 y_{24} & -1.00 y_{25} & + 10.00 y_{26} & +  3.00 y_{27} & +  2.00 y_{28} & + 10.00 y_{29} & -3.00 y_{30} & +  4.00 y_{31} & -7.00 y_{32}\\
 y_{10}   &  1.0  &   & +  5.00 y_{17} & +  1.00 y_{18} & -3.00 y_{19} & -2.00 y_{20} & -4.00 y_{21} & -5.00 y_{22} &   & +  2.00 y_{24} & +  1.00 y_{25} & +  5.00 y_{26} & -7.00 y_{27} & +  2.00 y_{28} & -3.00 y_{29} & +  3.00 y_{30} & -10.00 y_{31} & -3.00 y_{32}\\
 y_{11}   &  1.0 & -1.00 y_{16} & +  2.00 y_{17} & +  3.00 y_{18} & -2.00 y_{19} & +  9.00 y_{20} & +  5.00 y_{21} & +  7.00 y_{22} & -2.00 y_{23} & -3.00 y_{24} & -5.00 y_{25} & -2.00 y_{26} & -2.00 y_{27} & -9.00 y_{28} & +  4.00 y_{29} & -4.00 y_{30} & -10.00 y_{31} & +  7.00 y_{32}\\
 y_{12}   &  1.0 & -3.00 y_{16} & +  2.00 y_{17} & +  1.00 y_{18} & -1.00 y_{19} & -8.00 y_{20} & -5.00 y_{21} & +  7.00 y_{22} & -5.00 y_{23} & -5.00 y_{24} & -9.00 y_{25} & -4.00 y_{26} & +  8.00 y_{27} & +  6.00 y_{28} & -7.00 y_{29} & +  9.00 y_{30} & +  3.00 y_{31} & -3.00 y_{32}\\
 y_{13}   &  1.0 & +  3.00 y_{16} &   & +  9.00 y_{18} & +  8.00 y_{19} & +  1.00 y_{20} & +  9.00 y_{21} & -1.00 y_{22} & -4.00 y_{23} & -5.00 y_{24} & -7.00 y_{25} & +  2.00 y_{26} & -2.00 y_{27} & +  4.00 y_{28} & +  6.00 y_{29} & +  6.00 y_{30} & +  8.00 y_{31} & +  6.00 y_{32}\\
 y_{14}   &  1.0 & +  8.00 y_{16} & +  1.00 y_{17} & +  2.00 y_{18} & +  4.00 y_{19} & +  1.00 y_{20} & +  7.00 y_{21} & +  6.00 y_{22} & +  7.00 y_{23} & -7.00 y_{24} & +  2.00 y_{25} & -2.00 y_{26} & -10.00 y_{27} & -1.00 y_{28} & +  3.00 y_{29} & +  5.00 y_{30} & +  9.00 y_{31} & -9.00 y_{32}\\
 y_{15}   &  1.0 & +  7.00 y_{16} & -10.00 y_{17} & -3.00 y_{18} & -6.00 y_{19} & +  7.00 y_{20} & -10.00 y_{21} & -7.00 y_{22} & +  1.00 y_{23} & + 10.00 y_{24} & +  4.00 y_{25} & -6.00 y_{26} & -4.00 y_{27} & + 10.00 y_{28} & -5.00 y_{29} & -10.00 y_{30} & +  7.00 y_{31} & -8.00 y_{32}\\
\hline
z    &  -0 & -13.00 y_{16} & + 41.00 y_{17} & +  4.00 y_{18} & + 70.00 y_{19} & -13.00 y_{20} & +  2.00 y_{21} & -17.00 y_{22} & + 42.00 y_{23} & -32.00 y_{24} & + 35.00 y_{25} & +  4.00 y_{26} & -3.00 y_{27} & -5.00 y_{28} & + 12.00 y_{29} & -23.00 y_{30} & +  4.00 y_{31} & +  9.00 y_{32}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 22 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{32}   &  0.079752412603 & -0.17 y_{18} & +  0.04 y_{7} & -0.05 y_{9} & -0.00 y_{10} & -0.01 y_{2} & +  0.42 y_{17} & +  0.28 y_{22} & -0.01 y_{12} & -0.28 y_{24} & -0.14 y_{16} & -0.69 y_{21} & +  0.01 y_{15} & -0.05 y_{5} & +  0.50 y_{26} & +  0.01 y_{30} & +  0.46 y_{31} & -0.01 y_{1}\\
 y_{20}   &  0.0372715620412 & -0.14 y_{18} & +  0.01 y_{7} & -0.01 y_{9} & -0.10 y_{10} & -0.01 y_{2} & +  1.04 y_{17} & +  0.28 y_{22} & -0.02 y_{12} & -0.20 y_{24} & -0.48 y_{16} & +  0.27 y_{21} & +  0.06 y_{15} & +  0.02 y_{5} & +  0.96 y_{26} & +  0.80 y_{30} & -1.24 y_{31} & +  0.01 y_{1}\\
 y_{3}   &  1.84274395504 & -7.59 y_{18} & -0.25 y_{7} & +  0.07 y_{9} & +  0.39 y_{10} & +  0.04 y_{2} & -10.20 y_{17} & +  5.93 y_{22} & -0.21 y_{12} & +  2.85 y_{24} & + 11.33 y_{16} & -1.13 y_{21} & -0.38 y_{15} & +  0.06 y_{5} & -6.00 y_{26} & +  9.07 y_{30} & +  5.76 y_{31} & -0.57 y_{1}\\
 y_{4}   &  1.91849104588 & -10.00 y_{18} & +  0.03 y_{7} & +  0.20 y_{9} & -1.36 y_{10} & -0.21 y_{2} & + 11.66 y_{17} & -7.63 y_{22} & +  0.03 y_{12} & + 10.39 y_{24} & +  2.36 y_{16} & -5.43 y_{21} & -0.21 y_{15} & +  0.33 y_{5} & +  1.35 y_{26} & +  1.72 y_{30} & -10.58 y_{31} & +  0.28 y_{1}\\
 y_{28}   &  0.00803733370987 & +  0.17 y_{18} & +  0.01 y_{7} & -0.02 y_{9} & -0.02 y_{10} & -0.02 y_{2} & +  0.82 y_{17} & -0.19 y_{22} & +  0.02 y_{12} & -0.72 y_{24} & -0.28 y_{16} & +  0.25 y_{21} & +  0.06 y_{15} & -0.04 y_{5} & +  0.40 y_{26} & +  0.25 y_{30} & -0.54 y_{31} & +  0.01 y_{1}\\
 y_{6}   &  0.807031450592 & -6.46 y_{18} & -0.33 y_{7} & -0.01 y_{9} & +  1.29 y_{10} & -0.36 y_{2} & -11.31 y_{17} & -0.27 y_{22} & +  0.73 y_{12} & +  7.53 y_{24} & -1.26 y_{16} & +  9.40 y_{21} & -0.49 y_{15} & -0.14 y_{5} & -13.46 y_{26} & -19.61 y_{30} & + 14.55 y_{31} & -0.49 y_{1}\\
 y_{27}   &  0.0531950361742 & +  0.38 y_{18} & -0.01 y_{7} & +  0.01 y_{9} & -0.08 y_{10} & +  0.02 y_{2} & +  0.44 y_{17} & -0.46 y_{22} & +  0.02 y_{12} & +  0.12 y_{24} & +  0.01 y_{16} & -0.27 y_{21} & +  0.01 y_{15} & -0.01 y_{5} & +  0.51 y_{26} & +  0.41 y_{30} & -0.95 y_{31} & -0.01 y_{1}\\
 y_{8}   &  0.902529934204 & -8.93 y_{18} & +  0.35 y_{7} & -0.76 y_{9} & +  1.62 y_{10} & -0.45 y_{2} & +  2.70 y_{17} & +  7.04 y_{22} & +  0.30 y_{12} & -11.37 y_{24} & +  4.06 y_{16} & +  1.03 y_{21} & +  0.54 y_{15} & -0.70 y_{5} & + 12.82 y_{26} & -0.74 y_{30} & + 10.00 y_{31} & -0.81 y_{1}\\
 y_{19}   &  0.113267621857 & -0.30 y_{18} & -0.03 y_{7} & -0.03 y_{9} & -0.08 y_{10} & -0.02 y_{2} & -0.17 y_{17} & -0.54 y_{22} & -0.01 y_{12} & +  0.45 y_{24} & -0.56 y_{16} & +  0.01 y_{21} & -0.00 y_{15} & +  0.03 y_{5} & +  0.47 y_{26} & +  0.04 y_{30} & -1.04 y_{31} & +  0.03 y_{1}\\
 y_{25}   &  0.0511007477843 & +  0.77 y_{18} & -0.01 y_{7} & -0.01 y_{9} & -0.04 y_{10} & +  0.04 y_{2} & +  0.34 y_{17} & +  0.30 y_{22} & -0.05 y_{12} & -0.47 y_{24} & -0.82 y_{16} & -0.62 y_{21} & +  0.02 y_{15} & -0.02 y_{5} & +  0.20 y_{26} & +  0.90 y_{30} & -0.29 y_{31} & +  0.01 y_{1}\\
 y_{11}   &  1.1810761909 & -2.44 y_{18} & +  0.50 y_{7} & -0.03 y_{9} & -0.53 y_{10} & -0.09 y_{2} & +  8.03 y_{17} & + 11.18 y_{22} & -0.24 y_{12} & -0.17 y_{24} & +  2.06 y_{16} & +  2.39 y_{21} & -0.07 y_{15} & +  0.26 y_{5} & +  1.70 y_{26} & -4.53 y_{30} & -10.39 y_{31} & +  0.02 y_{1}\\
 y_{23}   &  0.0534061383425 & -0.52 y_{18} & -0.03 y_{7} & +  0.01 y_{9} & +  0.11 y_{10} & -0.04 y_{2} & -0.93 y_{17} & +  0.17 y_{22} & +  0.01 y_{12} & -0.03 y_{24} & +  0.76 y_{16} & +  0.31 y_{21} & -0.03 y_{15} & -0.02 y_{5} & -0.66 y_{26} & -0.07 y_{30} & +  1.08 y_{31} & -0.07 y_{1}\\
 y_{13}   &  1.85877035619 & +  4.42 y_{18} & +  0.34 y_{7} & -0.41 y_{9} & -0.99 y_{10} & -0.48 y_{2} & +  8.16 y_{17} & -9.30 y_{22} & +  0.11 y_{12} & -4.76 y_{24} & +  2.08 y_{16} & +  8.44 y_{21} & +  0.14 y_{15} & -0.09 y_{5} & +  6.76 y_{26} & +  0.97 y_{30} & -2.32 y_{31} & +  0.52 y_{1}\\
 y_{14}   &  0.749834039078 & -2.74 y_{18} & -0.59 y_{7} & +  0.39 y_{9} & +  1.09 y_{10} & -0.36 y_{2} & -12.30 y_{17} & +  6.50 y_{22} & -0.26 y_{12} & -5.36 y_{24} & + 12.09 y_{16} & + 16.13 y_{21} & -0.40 y_{15} & +  0.44 y_{5} & -15.79 y_{26} & +  2.65 y_{30} & + 16.00 y_{31} & -0.06 y_{1}\\
 y_{29}   &  0.013735644841 & +  0.38 y_{18} & +  0.00 y_{7} & +  0.04 y_{9} & -0.02 y_{10} & -0.01 y_{2} & +  0.37 y_{17} & -0.56 y_{22} & -0.02 y_{12} & -0.29 y_{24} & +  0.55 y_{16} & -0.24 y_{21} & -0.02 y_{15} & -0.01 y_{5} & -0.80 y_{26} & -0.06 y_{30} & -0.16 y_{31} & +  0.02 y_{1}\\
\hline
z    &  12.1586148807 & -8.83 y_{18} & -3.19 y_{7} & -1.95 y_{9} & -0.96 y_{10} & -1.45 y_{2} & -8.94 y_{17} & -42.64 y_{22} & -2.22 y_{12} & -18.19 y_{24} & -35.82 y_{16} & -19.21 y_{21} & -1.57 y_{15} & -0.33 y_{5} & -5.05 y_{26} & -5.39 y_{30} & -9.98 y_{31} & -0.49 y_{1}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  8.83201897527 & +  0.17 x_{32} & +  0.14 x_{20} & +  7.59 x_{3} & + 10.00 x_{4} & -0.17 x_{28} & +  6.46 x_{6} & -0.38 x_{27} & +  8.93 x_{8} & +  0.30 x_{19} & -0.77 x_{25} & +  2.44 x_{11} & +  0.52 x_{23} & -4.42 x_{13} & +  2.74 x_{14} & -0.38 x_{29}\\
 x_{7}   &  3.19479528597 & -0.04 x_{32} & -0.01 x_{20} & +  0.25 x_{3} & -0.03 x_{4} & -0.01 x_{28} & +  0.33 x_{6} & +  0.01 x_{27} & -0.35 x_{8} & +  0.03 x_{19} & +  0.01 x_{25} & -0.50 x_{11} & +  0.03 x_{23} & -0.34 x_{13} & +  0.59 x_{14} & -0.00 x_{29}\\
 x_{9}   &  1.94659565111 & +  0.05 x_{32} & +  0.01 x_{20} & -0.07 x_{3} & -0.20 x_{4} & +  0.02 x_{28} & +  0.01 x_{6} & -0.01 x_{27} & +  0.76 x_{8} & +  0.03 x_{19} & +  0.01 x_{25} & +  0.03 x_{11} & -0.01 x_{23} & +  0.41 x_{13} & -0.39 x_{14} & -0.04 x_{29}\\
 x_{10}   &  0.956598037949 & +  0.00 x_{32} & +  0.10 x_{20} & -0.39 x_{3} & +  1.36 x_{4} & +  0.02 x_{28} & -1.29 x_{6} & +  0.08 x_{27} & -1.62 x_{8} & +  0.08 x_{19} & +  0.04 x_{25} & +  0.53 x_{11} & -0.11 x_{23} & +  0.99 x_{13} & -1.09 x_{14} & +  0.02 x_{29}\\
 x_{2}   &  1.44563209519 & +  0.01 x_{32} & +  0.01 x_{20} & -0.04 x_{3} & +  0.21 x_{4} & +  0.02 x_{28} & +  0.36 x_{6} & -0.02 x_{27} & +  0.45 x_{8} & +  0.02 x_{19} & -0.04 x_{25} & +  0.09 x_{11} & +  0.04 x_{23} & +  0.48 x_{13} & +  0.36 x_{14} & +  0.01 x_{29}\\
 x_{17}   &  8.94362260178 & -0.42 x_{32} & -1.04 x_{20} & + 10.20 x_{3} & -11.66 x_{4} & -0.82 x_{28} & + 11.31 x_{6} & -0.44 x_{27} & -2.70 x_{8} & +  0.17 x_{19} & -0.34 x_{25} & -8.03 x_{11} & +  0.93 x_{23} & -8.16 x_{13} & + 12.30 x_{14} & -0.37 x_{29}\\
 x_{22}   &  42.635145581 & -0.28 x_{32} & -0.28 x_{20} & -5.93 x_{3} & +  7.63 x_{4} & +  0.19 x_{28} & +  0.27 x_{6} & +  0.46 x_{27} & -7.04 x_{8} & +  0.54 x_{19} & -0.30 x_{25} & -11.18 x_{11} & -0.17 x_{23} & +  9.30 x_{13} & -6.50 x_{14} & +  0.56 x_{29}\\
 x_{12}   &  2.22367880666 & +  0.01 x_{32} & +  0.02 x_{20} & +  0.21 x_{3} & -0.03 x_{4} & -0.02 x_{28} & -0.73 x_{6} & -0.02 x_{27} & -0.30 x_{8} & +  0.01 x_{19} & +  0.05 x_{25} & +  0.24 x_{11} & -0.01 x_{23} & -0.11 x_{13} & +  0.26 x_{14} & +  0.02 x_{29}\\
 x_{24}   &  18.1934286716 & +  0.28 x_{32} & +  0.20 x_{20} & -2.85 x_{3} & -10.39 x_{4} & +  0.72 x_{28} & -7.53 x_{6} & -0.12 x_{27} & + 11.37 x_{8} & -0.45 x_{19} & +  0.47 x_{25} & +  0.17 x_{11} & +  0.03 x_{23} & +  4.76 x_{13} & +  5.36 x_{14} & +  0.29 x_{29}\\
 x_{16}   &  35.8243475016 & +  0.14 x_{32} & +  0.48 x_{20} & -11.33 x_{3} & -2.36 x_{4} & +  0.28 x_{28} & +  1.26 x_{6} & -0.01 x_{27} & -4.06 x_{8} & +  0.56 x_{19} & +  0.82 x_{25} & -2.06 x_{11} & -0.76 x_{23} & -2.08 x_{13} & -12.09 x_{14} & -0.55 x_{29}\\
 x_{21}   &  19.2085698881 & +  0.69 x_{32} & -0.27 x_{20} & +  1.13 x_{3} & +  5.43 x_{4} & -0.25 x_{28} & -9.40 x_{6} & +  0.27 x_{27} & -1.03 x_{8} & -0.01 x_{19} & +  0.62 x_{25} & -2.39 x_{11} & -0.31 x_{23} & -8.44 x_{13} & -16.13 x_{14} & +  0.24 x_{29}\\
 x_{15}   &  1.56880804434 & -0.01 x_{32} & -0.06 x_{20} & +  0.38 x_{3} & +  0.21 x_{4} & -0.06 x_{28} & +  0.49 x_{6} & -0.01 x_{27} & -0.54 x_{8} & +  0.00 x_{19} & -0.02 x_{25} & +  0.07 x_{11} & +  0.03 x_{23} & -0.14 x_{13} & +  0.40 x_{14} & +  0.02 x_{29}\\
 x_{5}   &  0.327678479365 & +  0.05 x_{32} & -0.02 x_{20} & -0.06 x_{3} & -0.33 x_{4} & +  0.04 x_{28} & +  0.14 x_{6} & +  0.01 x_{27} & +  0.70 x_{8} & -0.03 x_{19} & +  0.02 x_{25} & -0.26 x_{11} & +  0.02 x_{23} & +  0.09 x_{13} & -0.44 x_{14} & +  0.01 x_{29}\\
 x_{26}   &  5.04575616146 & -0.50 x_{32} & -0.96 x_{20} & +  6.00 x_{3} & -1.35 x_{4} & -0.40 x_{28} & + 13.46 x_{6} & -0.51 x_{27} & -12.82 x_{8} & -0.47 x_{19} & -0.20 x_{25} & -1.70 x_{11} & +  0.66 x_{23} & -6.76 x_{13} & + 15.79 x_{14} & +  0.80 x_{29}\\
 x_{30}   &  5.39389907871 & -0.01 x_{32} & -0.80 x_{20} & -9.07 x_{3} & -1.72 x_{4} & -0.25 x_{28} & + 19.61 x_{6} & -0.41 x_{27} & +  0.74 x_{8} & -0.04 x_{19} & -0.90 x_{25} & +  4.53 x_{11} & +  0.07 x_{23} & -0.97 x_{13} & -2.65 x_{14} & +  0.06 x_{29}\\
 x_{31}   &  9.98331027274 & -0.46 x_{32} & +  1.24 x_{20} & -5.76 x_{3} & + 10.58 x_{4} & +  0.54 x_{28} & -14.55 x_{6} & +  0.95 x_{27} & -10.00 x_{8} & +  1.04 x_{19} & +  0.29 x_{25} & + 10.39 x_{11} & -1.08 x_{23} & +  2.32 x_{13} & -16.00 x_{14} & +  0.16 x_{29}\\
 x_{1}   &  0.494828480145 & +  0.01 x_{32} & -0.01 x_{20} & +  0.57 x_{3} & -0.28 x_{4} & -0.01 x_{28} & +  0.49 x_{6} & +  0.01 x_{27} & +  0.81 x_{8} & -0.03 x_{19} & -0.01 x_{25} & -0.02 x_{11} & +  0.07 x_{23} & -0.52 x_{13} & +  0.06 x_{14} & -0.02 x_{29}\\
\hline
z    &  -12.1586148807 & -0.08 x_{32} & -0.04 x_{20} & -1.84 x_{3} & -1.92 x_{4} & -0.01 x_{28} & -0.81 x_{6} & -0.05 x_{27} & -0.90 x_{8} & -0.11 x_{19} & -0.05 x_{25} & -1.18 x_{11} & -0.05 x_{23} & -1.86 x_{13} & -0.75 x_{14} & -0.01 x_{29}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  8.83201897527 & +  0.17 x_{32} & +  0.14 x_{20} & +  7.59 x_{3} & + 10.00 x_{4} & -0.17 x_{28} & +  6.46 x_{6} & -0.38 x_{27} & +  8.93 x_{8} & +  0.30 x_{19} & -0.77 x_{25} & +  2.44 x_{11} & +  0.52 x_{23} & -4.42 x_{13} & +  2.74 x_{14} & -0.38 x_{29}\\
 x_{7}   &  3.19479528597 & -0.04 x_{32} & -0.01 x_{20} & +  0.25 x_{3} & -0.03 x_{4} & -0.01 x_{28} & +  0.33 x_{6} & +  0.01 x_{27} & -0.35 x_{8} & +  0.03 x_{19} & +  0.01 x_{25} & -0.50 x_{11} & +  0.03 x_{23} & -0.34 x_{13} & +  0.59 x_{14} & -0.00 x_{29}\\
 x_{9}   &  1.94659565111 & +  0.05 x_{32} & +  0.01 x_{20} & -0.07 x_{3} & -0.20 x_{4} & +  0.02 x_{28} & +  0.01 x_{6} & -0.01 x_{27} & +  0.76 x_{8} & +  0.03 x_{19} & +  0.01 x_{25} & +  0.03 x_{11} & -0.01 x_{23} & +  0.41 x_{13} & -0.39 x_{14} & -0.04 x_{29}\\
 x_{10}   &  0.956598037949 & +  0.00 x_{32} & +  0.10 x_{20} & -0.39 x_{3} & +  1.36 x_{4} & +  0.02 x_{28} & -1.29 x_{6} & +  0.08 x_{27} & -1.62 x_{8} & +  0.08 x_{19} & +  0.04 x_{25} & +  0.53 x_{11} & -0.11 x_{23} & +  0.99 x_{13} & -1.09 x_{14} & +  0.02 x_{29}\\
 x_{2}   &  1.44563209519 & +  0.01 x_{32} & +  0.01 x_{20} & -0.04 x_{3} & +  0.21 x_{4} & +  0.02 x_{28} & +  0.36 x_{6} & -0.02 x_{27} & +  0.45 x_{8} & +  0.02 x_{19} & -0.04 x_{25} & +  0.09 x_{11} & +  0.04 x_{23} & +  0.48 x_{13} & +  0.36 x_{14} & +  0.01 x_{29}\\
 x_{17}   &  8.94362260178 & -0.42 x_{32} & -1.04 x_{20} & + 10.20 x_{3} & -11.66 x_{4} & -0.82 x_{28} & + 11.31 x_{6} & -0.44 x_{27} & -2.70 x_{8} & +  0.17 x_{19} & -0.34 x_{25} & -8.03 x_{11} & +  0.93 x_{23} & -8.16 x_{13} & + 12.30 x_{14} & -0.37 x_{29}\\
 x_{22}   &  42.635145581 & -0.28 x_{32} & -0.28 x_{20} & -5.93 x_{3} & +  7.63 x_{4} & +  0.19 x_{28} & +  0.27 x_{6} & +  0.46 x_{27} & -7.04 x_{8} & +  0.54 x_{19} & -0.30 x_{25} & -11.18 x_{11} & -0.17 x_{23} & +  9.30 x_{13} & -6.50 x_{14} & +  0.56 x_{29}\\
 x_{12}   &  2.22367880666 & +  0.01 x_{32} & +  0.02 x_{20} & +  0.21 x_{3} & -0.03 x_{4} & -0.02 x_{28} & -0.73 x_{6} & -0.02 x_{27} & -0.30 x_{8} & +  0.01 x_{19} & +  0.05 x_{25} & +  0.24 x_{11} & -0.01 x_{23} & -0.11 x_{13} & +  0.26 x_{14} & +  0.02 x_{29}\\
 x_{24}   &  18.1934286716 & +  0.28 x_{32} & +  0.20 x_{20} & -2.85 x_{3} & -10.39 x_{4} & +  0.72 x_{28} & -7.53 x_{6} & -0.12 x_{27} & + 11.37 x_{8} & -0.45 x_{19} & +  0.47 x_{25} & +  0.17 x_{11} & +  0.03 x_{23} & +  4.76 x_{13} & +  5.36 x_{14} & +  0.29 x_{29}\\
 x_{16}   &  35.8243475016 & +  0.14 x_{32} & +  0.48 x_{20} & -11.33 x_{3} & -2.36 x_{4} & +  0.28 x_{28} & +  1.26 x_{6} & -0.01 x_{27} & -4.06 x_{8} & +  0.56 x_{19} & +  0.82 x_{25} & -2.06 x_{11} & -0.76 x_{23} & -2.08 x_{13} & -12.09 x_{14} & -0.55 x_{29}\\
 x_{21}   &  19.2085698881 & +  0.69 x_{32} & -0.27 x_{20} & +  1.13 x_{3} & +  5.43 x_{4} & -0.25 x_{28} & -9.40 x_{6} & +  0.27 x_{27} & -1.03 x_{8} & -0.01 x_{19} & +  0.62 x_{25} & -2.39 x_{11} & -0.31 x_{23} & -8.44 x_{13} & -16.13 x_{14} & +  0.24 x_{29}\\
 x_{15}   &  1.56880804434 & -0.01 x_{32} & -0.06 x_{20} & +  0.38 x_{3} & +  0.21 x_{4} & -0.06 x_{28} & +  0.49 x_{6} & -0.01 x_{27} & -0.54 x_{8} & +  0.00 x_{19} & -0.02 x_{25} & +  0.07 x_{11} & +  0.03 x_{23} & -0.14 x_{13} & +  0.40 x_{14} & +  0.02 x_{29}\\
 x_{5}   &  0.327678479365 & +  0.05 x_{32} & -0.02 x_{20} & -0.06 x_{3} & -0.33 x_{4} & +  0.04 x_{28} & +  0.14 x_{6} & +  0.01 x_{27} & +  0.70 x_{8} & -0.03 x_{19} & +  0.02 x_{25} & -0.26 x_{11} & +  0.02 x_{23} & +  0.09 x_{13} & -0.44 x_{14} & +  0.01 x_{29}\\
 x_{26}   &  5.04575616146 & -0.50 x_{32} & -0.96 x_{20} & +  6.00 x_{3} & -1.35 x_{4} & -0.40 x_{28} & + 13.46 x_{6} & -0.51 x_{27} & -12.82 x_{8} & -0.47 x_{19} & -0.20 x_{25} & -1.70 x_{11} & +  0.66 x_{23} & -6.76 x_{13} & + 15.79 x_{14} & +  0.80 x_{29}\\
 x_{30}   &  5.39389907871 & -0.01 x_{32} & -0.80 x_{20} & -9.07 x_{3} & -1.72 x_{4} & -0.25 x_{28} & + 19.61 x_{6} & -0.41 x_{27} & +  0.74 x_{8} & -0.04 x_{19} & -0.90 x_{25} & +  4.53 x_{11} & +  0.07 x_{23} & -0.97 x_{13} & -2.65 x_{14} & +  0.06 x_{29}\\
 x_{31}   &  9.98331027274 & -0.46 x_{32} & +  1.24 x_{20} & -5.76 x_{3} & + 10.58 x_{4} & +  0.54 x_{28} & -14.55 x_{6} & +  0.95 x_{27} & -10.00 x_{8} & +  1.04 x_{19} & +  0.29 x_{25} & + 10.39 x_{11} & -1.08 x_{23} & +  2.32 x_{13} & -16.00 x_{14} & +  0.16 x_{29}\\
 x_{1}   &  0.494828480145 & +  0.01 x_{32} & -0.01 x_{20} & +  0.57 x_{3} & -0.28 x_{4} & -0.01 x_{28} & +  0.49 x_{6} & +  0.01 x_{27} & +  0.81 x_{8} & -0.03 x_{19} & -0.01 x_{25} & -0.02 x_{11} & +  0.07 x_{23} & -0.52 x_{13} & +  0.06 x_{14} & -0.02 x_{29}\\
\hline
z    &  10.499129452 & -0.28 x_{32} & +  0.02 x_{20} & +  5.05 x_{3} & + 11.19 x_{4} & -0.32 x_{28} & +  3.88 x_{6} & +  0.58 x_{27} & -6.33 x_{8} & +  0.17 x_{19} & +  0.12 x_{25} & +  2.31 x_{11} & -0.13 x_{23} & -5.67 x_{13} & -4.14 x_{14} & +  0.24 x_{29}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  8.83201897527 & +  0.17 x_{32} & +  0.14 x_{20} & +  7.59 x_{3} & + 10.00 x_{4} & -0.17 x_{28} & +  6.46 x_{6} & -0.38 x_{27} & +  8.93 x_{8} & +  0.30 x_{19} & -0.77 x_{25} & +  2.44 x_{11} & +  0.52 x_{23} & -4.42 x_{13} & +  2.74 x_{14} & -0.38 x_{29}\\
 x_{7}   &  3.19479528597 & -0.04 x_{32} & -0.01 x_{20} & +  0.25 x_{3} & -0.03 x_{4} & -0.01 x_{28} & +  0.33 x_{6} & +  0.01 x_{27} & -0.35 x_{8} & +  0.03 x_{19} & +  0.01 x_{25} & -0.50 x_{11} & +  0.03 x_{23} & -0.34 x_{13} & +  0.59 x_{14} & -0.00 x_{29}\\
 x_{9}   &  1.94659565111 & +  0.05 x_{32} & +  0.01 x_{20} & -0.07 x_{3} & -0.20 x_{4} & +  0.02 x_{28} & +  0.01 x_{6} & -0.01 x_{27} & +  0.76 x_{8} & +  0.03 x_{19} & +  0.01 x_{25} & +  0.03 x_{11} & -0.01 x_{23} & +  0.41 x_{13} & -0.39 x_{14} & -0.04 x_{29}\\
 x_{10}   &  0.956598037949 & +  0.00 x_{32} & +  0.10 x_{20} & -0.39 x_{3} & +  1.36 x_{4} & +  0.02 x_{28} & -1.29 x_{6} & +  0.08 x_{27} & -1.62 x_{8} & +  0.08 x_{19} & +  0.04 x_{25} & +  0.53 x_{11} & -0.11 x_{23} & +  0.99 x_{13} & -1.09 x_{14} & +  0.02 x_{29}\\
 x_{2}   &  1.44563209519 & +  0.01 x_{32} & +  0.01 x_{20} & -0.04 x_{3} & +  0.21 x_{4} & +  0.02 x_{28} & +  0.36 x_{6} & -0.02 x_{27} & +  0.45 x_{8} & +  0.02 x_{19} & -0.04 x_{25} & +  0.09 x_{11} & +  0.04 x_{23} & +  0.48 x_{13} & +  0.36 x_{14} & +  0.01 x_{29}\\
 x_{17}   &  8.94362260178 & -0.42 x_{32} & -1.04 x_{20} & + 10.20 x_{3} & -11.66 x_{4} & -0.82 x_{28} & + 11.31 x_{6} & -0.44 x_{27} & -2.70 x_{8} & +  0.17 x_{19} & -0.34 x_{25} & -8.03 x_{11} & +  0.93 x_{23} & -8.16 x_{13} & + 12.30 x_{14} & -0.37 x_{29}\\
 x_{22}   &  42.635145581 & -0.28 x_{32} & -0.28 x_{20} & -5.93 x_{3} & +  7.63 x_{4} & +  0.19 x_{28} & +  0.27 x_{6} & +  0.46 x_{27} & -7.04 x_{8} & +  0.54 x_{19} & -0.30 x_{25} & -11.18 x_{11} & -0.17 x_{23} & +  9.30 x_{13} & -6.50 x_{14} & +  0.56 x_{29}\\
 x_{12}   &  2.22367880666 & +  0.01 x_{32} & +  0.02 x_{20} & +  0.21 x_{3} & -0.03 x_{4} & -0.02 x_{28} & -0.73 x_{6} & -0.02 x_{27} & -0.30 x_{8} & +  0.01 x_{19} & +  0.05 x_{25} & +  0.24 x_{11} & -0.01 x_{23} & -0.11 x_{13} & +  0.26 x_{14} & +  0.02 x_{29}\\
 x_{24}   &  18.1934286716 & +  0.28 x_{32} & +  0.20 x_{20} & -2.85 x_{3} & -10.39 x_{4} & +  0.72 x_{28} & -7.53 x_{6} & -0.12 x_{27} & + 11.37 x_{8} & -0.45 x_{19} & +  0.47 x_{25} & +  0.17 x_{11} & +  0.03 x_{23} & +  4.76 x_{13} & +  5.36 x_{14} & +  0.29 x_{29}\\
 x_{16}   &  35.8243475016 & +  0.14 x_{32} & +  0.48 x_{20} & -11.33 x_{3} & -2.36 x_{4} & +  0.28 x_{28} & +  1.26 x_{6} & -0.01 x_{27} & -4.06 x_{8} & +  0.56 x_{19} & +  0.82 x_{25} & -2.06 x_{11} & -0.76 x_{23} & -2.08 x_{13} & -12.09 x_{14} & -0.55 x_{29}\\
 x_{21}   &  19.2085698881 & +  0.69 x_{32} & -0.27 x_{20} & +  1.13 x_{3} & +  5.43 x_{4} & -0.25 x_{28} & -9.40 x_{6} & +  0.27 x_{27} & -1.03 x_{8} & -0.01 x_{19} & +  0.62 x_{25} & -2.39 x_{11} & -0.31 x_{23} & -8.44 x_{13} & -16.13 x_{14} & +  0.24 x_{29}\\
 x_{15}   &  1.56880804434 & -0.01 x_{32} & -0.06 x_{20} & +  0.38 x_{3} & +  0.21 x_{4} & -0.06 x_{28} & +  0.49 x_{6} & -0.01 x_{27} & -0.54 x_{8} & +  0.00 x_{19} & -0.02 x_{25} & +  0.07 x_{11} & +  0.03 x_{23} & -0.14 x_{13} & +  0.40 x_{14} & +  0.02 x_{29}\\
 x_{5}   &  0.327678479365 & +  0.05 x_{32} & -0.02 x_{20} & -0.06 x_{3} & -0.33 x_{4} & +  0.04 x_{28} & +  0.14 x_{6} & +  0.01 x_{27} & +  0.70 x_{8} & -0.03 x_{19} & +  0.02 x_{25} & -0.26 x_{11} & +  0.02 x_{23} & +  0.09 x_{13} & -0.44 x_{14} & +  0.01 x_{29}\\
 x_{26}   &  5.04575616146 & -0.50 x_{32} & -0.96 x_{20} & +  6.00 x_{3} & -1.35 x_{4} & -0.40 x_{28} & + 13.46 x_{6} & -0.51 x_{27} & -12.82 x_{8} & -0.47 x_{19} & -0.20 x_{25} & -1.70 x_{11} & +  0.66 x_{23} & -6.76 x_{13} & + 15.79 x_{14} & +  0.80 x_{29}\\
 x_{30}   &  5.39389907871 & -0.01 x_{32} & -0.80 x_{20} & -9.07 x_{3} & -1.72 x_{4} & -0.25 x_{28} & + 19.61 x_{6} & -0.41 x_{27} & +  0.74 x_{8} & -0.04 x_{19} & -0.90 x_{25} & +  4.53 x_{11} & +  0.07 x_{23} & -0.97 x_{13} & -2.65 x_{14} & +  0.06 x_{29}\\
 x_{31}   &  9.98331027274 & -0.46 x_{32} & +  1.24 x_{20} & -5.76 x_{3} & + 10.58 x_{4} & +  0.54 x_{28} & -14.55 x_{6} & +  0.95 x_{27} & -10.00 x_{8} & +  1.04 x_{19} & +  0.29 x_{25} & + 10.39 x_{11} & -1.08 x_{23} & +  2.32 x_{13} & -16.00 x_{14} & +  0.16 x_{29}\\
 x_{1}   &  0.494828480145 & +  0.01 x_{32} & -0.01 x_{20} & +  0.57 x_{3} & -0.28 x_{4} & -0.01 x_{28} & +  0.49 x_{6} & +  0.01 x_{27} & +  0.81 x_{8} & -0.03 x_{19} & -0.01 x_{25} & -0.02 x_{11} & +  0.07 x_{23} & -0.52 x_{13} & +  0.06 x_{14} & -0.02 x_{29}\\
\hline
z    &  10.499129452 & -0.28 x_{32} & +  0.02 x_{20} & +  5.05 x_{3} & + 11.19 x_{4} & -0.32 x_{28} & +  3.88 x_{6} & +  0.58 x_{27} & -6.33 x_{8} & +  0.17 x_{19} & +  0.12 x_{25} & +  2.31 x_{11} & -0.13 x_{23} & -5.67 x_{13} & -4.14 x_{14} & +  0.24 x_{29}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{30} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  13.3507785562 & +  0.16 x_{32} & -0.53 x_{20} & -0.84 x_{30} & +  8.56 x_{4} & -0.39 x_{28} & + 22.89 x_{6} & -0.72 x_{27} & +  9.54 x_{8} & +  0.27 x_{19} & -1.52 x_{25} & +  6.23 x_{11} & +  0.58 x_{23} & -5.23 x_{13} & +  0.52 x_{14} & -0.33 x_{29}\\
 x_{7}   &  3.3450032437 & -0.04 x_{32} & -0.04 x_{20} & -0.03 x_{30} & -0.07 x_{4} & -0.02 x_{28} & +  0.88 x_{6} & -0.00 x_{27} & -0.33 x_{8} & +  0.03 x_{19} & -0.01 x_{25} & -0.37 x_{11} & +  0.03 x_{23} & -0.37 x_{13} & +  0.52 x_{14} & -0.00 x_{29}\\
 x_{9}   &  1.90303774745 & +  0.05 x_{32} & +  0.02 x_{20} & +  0.01 x_{30} & -0.19 x_{4} & +  0.03 x_{28} & -0.15 x_{6} & -0.01 x_{27} & +  0.75 x_{8} & +  0.03 x_{19} & +  0.02 x_{25} & -0.01 x_{11} & -0.01 x_{23} & +  0.42 x_{13} & -0.37 x_{14} & -0.04 x_{29}\\
 x_{10}   &  0.724241550092 & +  0.00 x_{32} & +  0.13 x_{20} & +  0.04 x_{30} & +  1.44 x_{4} & +  0.03 x_{28} & -2.13 x_{6} & +  0.10 x_{27} & -1.66 x_{8} & +  0.08 x_{19} & +  0.07 x_{25} & +  0.33 x_{11} & -0.11 x_{23} & +  1.03 x_{13} & -0.98 x_{14} & +  0.01 x_{29}\\
 x_{2}   &  1.4194982047 & +  0.01 x_{32} & +  0.01 x_{20} & +  0.00 x_{30} & +  0.22 x_{4} & +  0.02 x_{28} & +  0.26 x_{6} & -0.01 x_{27} & +  0.45 x_{8} & +  0.02 x_{19} & -0.04 x_{25} & +  0.06 x_{11} & +  0.04 x_{23} & +  0.49 x_{13} & +  0.38 x_{14} & +  0.01 x_{29}\\
 x_{17}   &  15.0128477501 & -0.43 x_{32} & -1.94 x_{20} & -1.13 x_{30} & -13.59 x_{4} & -1.10 x_{28} & + 33.38 x_{6} & -0.89 x_{27} & -1.88 x_{8} & +  0.13 x_{19} & -1.35 x_{25} & -2.93 x_{11} & +  1.01 x_{23} & -9.25 x_{13} & +  9.32 x_{14} & -0.31 x_{29}\\
 x_{22}   &  39.1054429859 & -0.27 x_{32} & +  0.24 x_{20} & +  0.65 x_{30} & +  8.75 x_{4} & +  0.36 x_{28} & -12.56 x_{6} & +  0.73 x_{27} & -7.52 x_{8} & +  0.56 x_{19} & +  0.29 x_{25} & -14.15 x_{11} & -0.22 x_{23} & +  9.93 x_{13} & -4.77 x_{14} & +  0.52 x_{29}\\
 x_{12}   &  2.35104787765 & +  0.01 x_{32} & -0.00 x_{20} & -0.02 x_{30} & -0.07 x_{4} & -0.02 x_{28} & -0.27 x_{6} & -0.03 x_{27} & -0.28 x_{8} & +  0.01 x_{19} & +  0.03 x_{25} & +  0.35 x_{11} & -0.01 x_{23} & -0.13 x_{13} & +  0.20 x_{14} & +  0.02 x_{29}\\
 x_{24}   &  16.4984632964 & +  0.29 x_{32} & +  0.45 x_{20} & +  0.31 x_{30} & -9.85 x_{4} & +  0.80 x_{28} & -13.69 x_{6} & +  0.01 x_{27} & + 11.14 x_{8} & -0.44 x_{19} & +  0.75 x_{25} & -1.26 x_{11} & +  0.01 x_{23} & +  5.06 x_{13} & +  6.19 x_{14} & +  0.27 x_{29}\\
 x_{16}   &  29.0803454187 & +  0.15 x_{32} & +  1.48 x_{20} & +  1.25 x_{30} & -0.22 x_{4} & +  0.59 x_{28} & -23.26 x_{6} & +  0.50 x_{27} & -4.98 x_{8} & +  0.60 x_{19} & +  1.95 x_{25} & -7.72 x_{11} & -0.86 x_{23} & -0.87 x_{13} & -8.79 x_{14} & -0.62 x_{29}\\
 x_{21}   &  19.8819677803 & +  0.69 x_{32} & -0.37 x_{20} & -0.12 x_{30} & +  5.22 x_{4} & -0.29 x_{28} & -6.95 x_{6} & +  0.22 x_{27} & -0.94 x_{8} & -0.01 x_{19} & +  0.51 x_{25} & -1.83 x_{11} & -0.30 x_{23} & -8.56 x_{13} & -16.46 x_{14} & +  0.25 x_{29}\\
 x_{15}   &  1.79225445359 & -0.01 x_{32} & -0.09 x_{20} & -0.04 x_{30} & +  0.14 x_{4} & -0.07 x_{28} & +  1.31 x_{6} & -0.02 x_{27} & -0.51 x_{8} & -0.00 x_{19} & -0.06 x_{25} & +  0.26 x_{11} & +  0.03 x_{23} & -0.18 x_{13} & +  0.29 x_{14} & +  0.03 x_{29}\\
 x_{5}   &  0.289447410423 & +  0.05 x_{32} & -0.02 x_{20} & +  0.01 x_{30} & -0.32 x_{4} & +  0.04 x_{28} & +  0.00 x_{6} & +  0.01 x_{27} & +  0.70 x_{8} & -0.03 x_{19} & +  0.02 x_{25} & -0.29 x_{11} & +  0.02 x_{23} & +  0.10 x_{13} & -0.43 x_{14} & +  0.01 x_{29}\\
 x_{26}   &  8.61725902648 & -0.50 x_{32} & -1.49 x_{20} & -0.66 x_{30} & -2.49 x_{4} & -0.57 x_{28} & + 26.44 x_{6} & -0.78 x_{27} & -12.34 x_{8} & -0.50 x_{19} & -0.79 x_{25} & +  1.30 x_{11} & +  0.71 x_{23} & -7.41 x_{13} & + 14.04 x_{14} & +  0.84 x_{29}\\
 x_{3}   &  0.594996031459 & -0.00 x_{32} & -0.09 x_{20} & -0.11 x_{30} & -0.19 x_{4} & -0.03 x_{28} & +  2.16 x_{6} & -0.04 x_{27} & +  0.08 x_{8} & -0.00 x_{19} & -0.10 x_{25} & +  0.50 x_{11} & +  0.01 x_{23} & -0.11 x_{13} & -0.29 x_{14} & +  0.01 x_{29}\\
 x_{31}   &  6.55781339726 & -0.46 x_{32} & +  1.74 x_{20} & +  0.64 x_{30} & + 11.67 x_{4} & +  0.70 x_{28} & -27.00 x_{6} & +  1.21 x_{27} & -10.47 x_{8} & +  1.07 x_{19} & +  0.86 x_{25} & +  7.51 x_{11} & -1.12 x_{23} & +  2.94 x_{13} & -14.31 x_{14} & +  0.12 x_{29}\\
 x_{1}   &  0.835513701892 & +  0.01 x_{32} & -0.06 x_{20} & -0.06 x_{30} & -0.39 x_{4} & -0.03 x_{28} & +  1.72 x_{6} & -0.01 x_{27} & +  0.85 x_{8} & -0.03 x_{19} & -0.07 x_{25} & +  0.26 x_{11} & +  0.07 x_{23} & -0.59 x_{13} & -0.11 x_{14} & -0.02 x_{29}\\
\hline
z    &  13.5067379593 & -0.29 x_{32} & -0.42 x_{20} & -0.56 x_{30} & + 10.23 x_{4} & -0.47 x_{28} & + 14.81 x_{6} & +  0.35 x_{27} & -5.92 x_{8} & +  0.15 x_{19} & -0.38 x_{25} & +  4.84 x_{11} & -0.08 x_{23} & -6.21 x_{13} & -5.62 x_{14} & +  0.28 x_{29}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  21.1884729439 & +  1.51 x_{32} & -1.01 x_{20} & -0.65 x_{30} & -27.08 x_{5} & +  0.75 x_{28} & + 23.00 x_{6} & -0.50 x_{27} & + 28.37 x_{8} & -0.45 x_{19} & -0.91 x_{25} & -1.56 x_{11} & +  1.17 x_{23} & -2.60 x_{13} & -11.01 x_{14} & +  0.01 x_{29}\\
 x_{7}   &  3.27722960179 & -0.05 x_{32} & -0.03 x_{20} & -0.03 x_{30} & +  0.23 x_{5} & -0.03 x_{28} & +  0.88 x_{6} & -0.00 x_{27} & -0.49 x_{8} & +  0.03 x_{19} & -0.02 x_{25} & -0.30 x_{11} & +  0.02 x_{23} & -0.39 x_{13} & +  0.61 x_{14} & -0.01 x_{29}\\
 x_{9}   &  1.73077423734 & +  0.02 x_{32} & +  0.03 x_{20} & +  0.00 x_{30} & +  0.60 x_{5} & +  0.00 x_{28} & -0.15 x_{6} & -0.01 x_{27} & +  0.34 x_{8} & +  0.05 x_{19} & +  0.00 x_{25} & +  0.16 x_{11} & -0.02 x_{23} & +  0.36 x_{13} & -0.11 x_{14} & -0.05 x_{29}\\
 x_{10}   &  2.04113000475 & +  0.23 x_{32} & +  0.05 x_{20} & +  0.08 x_{30} & -4.55 x_{5} & +  0.22 x_{28} & -2.11 x_{6} & +  0.13 x_{27} & +  1.51 x_{8} & -0.04 x_{19} & +  0.18 x_{25} & -0.98 x_{11} & -0.02 x_{23} & +  1.47 x_{13} & -2.92 x_{14} & +  0.07 x_{29}\\
 x_{2}   &  1.62214684712 & +  0.04 x_{32} & -0.00 x_{20} & +  0.01 x_{30} & -0.70 x_{5} & +  0.05 x_{28} & +  0.26 x_{6} & -0.01 x_{27} & +  0.94 x_{8} & -0.00 x_{19} & -0.02 x_{25} & -0.14 x_{11} & +  0.05 x_{23} & +  0.56 x_{13} & +  0.08 x_{14} & +  0.02 x_{29}\\
 x_{17}   &  2.577207365 & -2.58 x_{32} & -1.16 x_{20} & -1.43 x_{30} & + 42.96 x_{5} & -2.91 x_{28} & + 33.19 x_{6} & -1.23 x_{27} & -31.75 x_{8} & +  1.27 x_{19} & -2.33 x_{25} & +  9.43 x_{11} & +  0.08 x_{23} & -13.42 x_{13} & + 27.61 x_{14} & -0.85 x_{29}\\
 x_{22}   &  47.1183794986 & +  1.11 x_{32} & -0.26 x_{20} & +  0.85 x_{30} & -27.68 x_{5} & +  1.53 x_{28} & -12.44 x_{6} & +  0.94 x_{27} & + 11.73 x_{8} & -0.17 x_{19} & +  0.92 x_{25} & -22.12 x_{11} & +  0.38 x_{23} & + 12.62 x_{13} & -16.55 x_{14} & +  0.87 x_{29}\\
 x_{12}   &  2.28969136163 & -0.00 x_{32} & +  0.00 x_{20} & -0.03 x_{30} & +  0.21 x_{5} & -0.03 x_{28} & -0.27 x_{6} & -0.03 x_{27} & -0.43 x_{8} & +  0.01 x_{19} & +  0.03 x_{25} & +  0.41 x_{11} & -0.01 x_{23} & -0.15 x_{13} & +  0.29 x_{14} & +  0.02 x_{29}\\
 x_{24}   &  7.47901065909 & -1.27 x_{32} & +  1.01 x_{20} & +  0.09 x_{30} & + 31.16 x_{5} & -0.51 x_{28} & -13.82 x_{6} & -0.24 x_{27} & -10.52 x_{8} & +  0.38 x_{19} & +  0.04 x_{25} & +  7.71 x_{11} & -0.66 x_{23} & +  2.04 x_{13} & + 19.46 x_{14} & -0.12 x_{29}\\
 x_{16}   &  28.8806688882 & +  0.12 x_{32} & +  1.49 x_{20} & +  1.25 x_{30} & +  0.69 x_{5} & +  0.57 x_{28} & -23.27 x_{6} & +  0.50 x_{27} & -5.46 x_{8} & +  0.62 x_{19} & +  1.94 x_{25} & -7.53 x_{11} & -0.87 x_{23} & -0.94 x_{13} & -8.49 x_{14} & -0.63 x_{29}\\
 x_{21}   &  24.6590058979 & +  1.51 x_{32} & -0.67 x_{20} & -0.01 x_{30} & -16.50 x_{5} & +  0.41 x_{28} & -6.88 x_{6} & +  0.35 x_{27} & + 10.54 x_{8} & -0.45 x_{19} & +  0.88 x_{25} & -6.57 x_{11} & +  0.06 x_{23} & -6.96 x_{13} & -23.49 x_{14} & +  0.46 x_{29}\\
 x_{15}   &  1.91582716731 & +  0.01 x_{32} & -0.10 x_{20} & -0.04 x_{30} & -0.43 x_{5} & -0.05 x_{28} & +  1.31 x_{6} & -0.02 x_{27} & -0.21 x_{8} & -0.01 x_{19} & -0.05 x_{25} & +  0.14 x_{11} & +  0.04 x_{23} & -0.14 x_{13} & +  0.11 x_{14} & +  0.03 x_{29}\\
 x_{4}   &  0.91529305151 & +  0.16 x_{32} & -0.06 x_{20} & +  0.02 x_{30} & -3.16 x_{5} & +  0.13 x_{28} & +  0.01 x_{6} & +  0.03 x_{27} & +  2.20 x_{8} & -0.08 x_{19} & +  0.07 x_{25} & -0.91 x_{11} & +  0.07 x_{23} & +  0.31 x_{13} & -1.35 x_{14} & +  0.04 x_{29}\\
 x_{26}   &  6.33946614625 & -0.90 x_{32} & -1.35 x_{20} & -0.72 x_{30} & +  7.87 x_{5} & -0.90 x_{28} & + 26.41 x_{6} & -0.84 x_{27} & -17.81 x_{8} & -0.29 x_{19} & -0.97 x_{25} & +  3.57 x_{11} & +  0.54 x_{23} & -8.17 x_{13} & + 17.39 x_{14} & +  0.74 x_{29}\\
 x_{3}   &  0.421784871118 & -0.03 x_{32} & -0.08 x_{20} & -0.11 x_{30} & +  0.60 x_{5} & -0.05 x_{28} & +  2.16 x_{6} & -0.05 x_{27} & -0.33 x_{8} & +  0.01 x_{19} & -0.11 x_{25} & +  0.67 x_{11} & -0.00 x_{23} & -0.17 x_{13} & -0.04 x_{14} & -0.00 x_{29}\\
 x_{31}   &  17.2414933598 & +  1.39 x_{32} & +  1.08 x_{20} & +  0.90 x_{30} & -36.91 x_{5} & +  2.26 x_{28} & -26.85 x_{6} & +  1.50 x_{27} & + 15.19 x_{8} & +  0.09 x_{19} & +  1.70 x_{25} & -3.11 x_{11} & -0.33 x_{23} & +  6.52 x_{13} & -30.03 x_{14} & +  0.58 x_{29}\\
 x_{1}   &  0.477960783417 & -0.05 x_{32} & -0.03 x_{20} & -0.07 x_{30} & +  1.24 x_{5} & -0.08 x_{28} & +  1.72 x_{6} & -0.02 x_{27} & -0.01 x_{8} & +  0.00 x_{19} & -0.10 x_{25} & +  0.62 x_{11} & +  0.04 x_{23} & -0.71 x_{13} & +  0.42 x_{14} & -0.03 x_{29}\\
\hline
z    &  22.8691239468 & +  1.33 x_{32} & -1.00 x_{20} & -0.33 x_{30} & -32.35 x_{5} & +  0.90 x_{28} & + 14.95 x_{6} & +  0.61 x_{27} & + 16.57 x_{8} & -0.71 x_{19} & +  0.35 x_{25} & -4.47 x_{11} & +  0.61 x_{23} & -3.07 x_{13} & -19.39 x_{14} & +  0.68 x_{29}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{24} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  33.6349727551 & -0.61 x_{32} & +  0.67 x_{20} & -0.49 x_{30} & + 24.78 x_{5} & -0.09 x_{28} & -1.66 x_{24} & -0.90 x_{27} & + 10.86 x_{8} & +  0.19 x_{19} & -0.84 x_{25} & + 11.27 x_{11} & +  0.06 x_{23} & +  0.79 x_{13} & + 21.37 x_{14} & -0.19 x_{29}\\
 x_{7}   &  3.7526948022 & -0.14 x_{32} & +  0.03 x_{20} & -0.02 x_{30} & +  2.22 x_{5} & -0.06 x_{28} & -0.06 x_{24} & -0.02 x_{27} & -1.16 x_{8} & +  0.06 x_{19} & -0.02 x_{25} & +  0.19 x_{11} & -0.02 x_{23} & -0.26 x_{13} & +  1.85 x_{14} & -0.01 x_{29}\\
 x_{9}   &  1.65001328326 & +  0.04 x_{32} & +  0.02 x_{20} & +  0.00 x_{30} & +  0.26 x_{5} & +  0.01 x_{28} & +  0.01 x_{24} & -0.01 x_{27} & +  0.45 x_{8} & +  0.04 x_{19} & +  0.00 x_{25} & +  0.08 x_{11} & -0.01 x_{23} & +  0.34 x_{13} & -0.32 x_{14} & -0.05 x_{29}\\
 x_{10}   &  0.89812497611 & +  0.43 x_{32} & -0.10 x_{20} & +  0.06 x_{30} & -9.31 x_{5} & +  0.30 x_{28} & +  0.15 x_{24} & +  0.17 x_{27} & +  3.12 x_{8} & -0.09 x_{19} & +  0.17 x_{25} & -2.15 x_{11} & +  0.08 x_{23} & +  1.16 x_{13} & -5.89 x_{14} & +  0.09 x_{29}\\
 x_{2}   &  1.7646541399 & +  0.02 x_{32} & +  0.02 x_{20} & +  0.01 x_{30} & -0.11 x_{5} & +  0.04 x_{28} & -0.02 x_{24} & -0.01 x_{27} & +  0.74 x_{8} & +  0.01 x_{19} & -0.02 x_{25} & +  0.01 x_{11} & +  0.04 x_{23} & +  0.60 x_{13} & +  0.45 x_{14} & +  0.02 x_{29}\\
 x_{17}   &  20.5376971074 & -5.64 x_{32} & +  1.26 x_{20} & -1.21 x_{30} & + 117.79 x_{5} & -4.14 x_{28} & -2.40 x_{24} & -1.81 x_{27} & -57.01 x_{8} & +  2.18 x_{19} & -2.22 x_{25} & + 27.94 x_{11} & -1.51 x_{23} & -8.51 x_{13} & + 74.35 x_{14} & -1.13 x_{29}\\
 x_{22}   &  40.3872606744 & +  2.26 x_{32} & -1.17 x_{20} & +  0.77 x_{30} & -55.73 x_{5} & +  1.98 x_{28} & +  0.90 x_{24} & +  1.16 x_{27} & + 21.20 x_{8} & -0.51 x_{19} & +  0.88 x_{25} & -29.05 x_{11} & +  0.98 x_{23} & + 10.78 x_{13} & -34.07 x_{14} & +  0.97 x_{29}\\
 x_{12}   &  2.1455034339 & +  0.02 x_{32} & -0.02 x_{20} & -0.03 x_{30} & -0.39 x_{5} & -0.02 x_{28} & +  0.02 x_{24} & -0.03 x_{27} & -0.23 x_{8} & +  0.00 x_{19} & +  0.03 x_{25} & +  0.26 x_{11} & +  0.00 x_{23} & -0.19 x_{13} & -0.08 x_{14} & +  0.02 x_{29}\\
 x_{6}   &  0.541094351128 & -0.09 x_{32} & +  0.07 x_{20} & +  0.01 x_{30} & +  2.25 x_{5} & -0.04 x_{28} & -0.07 x_{24} & -0.02 x_{27} & -0.76 x_{8} & +  0.03 x_{19} & +  0.00 x_{25} & +  0.56 x_{11} & -0.05 x_{23} & +  0.15 x_{13} & +  1.41 x_{14} & -0.01 x_{29}\\
 x_{16}   &  16.2919379452 & +  2.26 x_{32} & -0.20 x_{20} & +  1.09 x_{30} & -51.76 x_{5} & +  1.42 x_{28} & +  1.68 x_{24} & +  0.90 x_{27} & + 12.25 x_{8} & -0.02 x_{19} & +  1.86 x_{25} & -20.50 x_{11} & +  0.24 x_{23} & -4.37 x_{13} & -41.25 x_{14} & -0.43 x_{29}\\
 x_{21}   &  20.937061466 & +  2.15 x_{32} & -1.17 x_{20} & -0.05 x_{30} & -32.01 x_{5} & +  0.66 x_{28} & +  0.50 x_{24} & +  0.47 x_{27} & + 15.78 x_{8} & -0.64 x_{19} & +  0.86 x_{25} & -10.41 x_{11} & +  0.39 x_{23} & -7.98 x_{13} & -33.18 x_{14} & +  0.52 x_{29}\\
 x_{15}   &  2.62317170246 & -0.11 x_{32} & -0.00 x_{20} & -0.03 x_{30} & +  2.52 x_{5} & -0.10 x_{28} & -0.09 x_{24} & -0.04 x_{27} & -1.21 x_{8} & +  0.02 x_{19} & -0.05 x_{25} & +  0.87 x_{11} & -0.02 x_{23} & +  0.06 x_{13} & +  1.95 x_{14} & +  0.02 x_{29}\\
 x_{4}   &  0.92260705237 & +  0.16 x_{32} & -0.06 x_{20} & +  0.02 x_{30} & -3.13 x_{5} & +  0.13 x_{28} & -0.00 x_{24} & +  0.02 x_{27} & +  2.19 x_{8} & -0.08 x_{19} & +  0.07 x_{25} & -0.90 x_{11} & +  0.07 x_{23} & +  0.31 x_{13} & -1.33 x_{14} & +  0.04 x_{29}\\
 x_{26}   &  20.6284004463 & -3.33 x_{32} & +  0.58 x_{20} & -0.54 x_{30} & + 67.40 x_{5} & -1.87 x_{28} & -1.91 x_{24} & -1.30 x_{27} & -37.91 x_{8} & +  0.44 x_{19} & -0.89 x_{25} & + 18.30 x_{11} & -0.72 x_{23} & -4.27 x_{13} & + 54.57 x_{14} & +  0.52 x_{29}\\
 x_{3}   &  1.59087168798 & -0.23 x_{32} & +  0.08 x_{20} & -0.10 x_{30} & +  5.47 x_{5} & -0.13 x_{28} & -0.16 x_{24} & -0.09 x_{27} & -1.98 x_{8} & +  0.07 x_{19} & -0.11 x_{25} & +  1.88 x_{11} & -0.11 x_{23} & +  0.15 x_{13} & +  3.00 x_{14} & -0.02 x_{29}\\
 x_{31}   &  2.71539331468 & +  3.87 x_{32} & -0.88 x_{20} & +  0.72 x_{30} & -97.43 x_{5} & +  3.25 x_{28} & +  1.94 x_{24} & +  1.97 x_{27} & + 35.63 x_{8} & -0.65 x_{19} & +  1.61 x_{25} & -18.09 x_{11} & +  0.96 x_{23} & +  2.56 x_{13} & -67.83 x_{14} & +  0.82 x_{29}\\
 x_{1}   &  1.4081421656 & -0.21 x_{32} & +  0.09 x_{20} & -0.06 x_{30} & +  5.11 x_{5} & -0.14 x_{28} & -0.12 x_{24} & -0.05 x_{27} & -1.32 x_{8} & +  0.05 x_{19} & -0.09 x_{25} & +  1.58 x_{11} & -0.04 x_{23} & -0.45 x_{13} & +  2.84 x_{14} & -0.05 x_{29}\\
\hline
z    &  30.9578678686 & -0.04 x_{32} & +  0.09 x_{20} & -0.23 x_{30} & +  1.36 x_{5} & +  0.35 x_{28} & -1.08 x_{24} & +  0.35 x_{27} & +  5.19 x_{8} & -0.30 x_{19} & +  0.40 x_{25} & +  3.87 x_{11} & -0.10 x_{23} & -0.86 x_{13} & +  1.65 x_{14} & +  0.55 x_{29}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{31} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  34.3255648532 & +  0.38 x_{32} & +  0.44 x_{20} & -0.31 x_{30} & -0.25 x_{31} & +  0.73 x_{28} & -1.17 x_{24} & -0.40 x_{27} & + 19.92 x_{8} & +  0.02 x_{19} & -0.43 x_{25} & +  6.67 x_{11} & +  0.31 x_{23} & +  1.44 x_{13} & +  4.12 x_{14} & +  0.02 x_{29}\\
 x_{7}   &  3.81442966353 & -0.05 x_{32} & +  0.01 x_{20} & -0.01 x_{30} & -0.02 x_{31} & +  0.01 x_{28} & -0.02 x_{24} & +  0.03 x_{27} & -0.35 x_{8} & +  0.04 x_{19} & +  0.02 x_{25} & -0.22 x_{11} & +  0.00 x_{23} & -0.20 x_{13} & +  0.31 x_{14} & +  0.01 x_{29}\\
 x_{9}   &  1.65722196029 & +  0.05 x_{32} & +  0.02 x_{20} & +  0.00 x_{30} & -0.00 x_{31} & +  0.01 x_{28} & +  0.02 x_{24} & -0.01 x_{27} & +  0.55 x_{8} & +  0.04 x_{19} & +  0.01 x_{25} & +  0.03 x_{11} & -0.01 x_{23} & +  0.34 x_{13} & -0.50 x_{14} & -0.05 x_{29}\\
 x_{10}   &  0.638607125402 & +  0.06 x_{32} & -0.02 x_{20} & -0.01 x_{30} & +  0.10 x_{31} & -0.01 x_{28} & -0.03 x_{24} & -0.02 x_{27} & -0.29 x_{8} & -0.03 x_{19} & +  0.02 x_{25} & -0.43 x_{11} & -0.01 x_{23} & +  0.91 x_{13} & +  0.59 x_{14} & +  0.01 x_{29}\\
 x_{2}   &  1.7616895994 & +  0.01 x_{32} & +  0.02 x_{20} & +  0.01 x_{30} & +  0.00 x_{31} & +  0.04 x_{28} & -0.02 x_{24} & -0.02 x_{27} & +  0.70 x_{8} & +  0.01 x_{19} & -0.02 x_{25} & +  0.03 x_{11} & +  0.04 x_{23} & +  0.59 x_{13} & +  0.52 x_{14} & +  0.01 x_{29}\\
 x_{17}   &  23.8205663367 & -0.96 x_{32} & +  0.20 x_{20} & -0.34 x_{30} & -1.21 x_{31} & -0.21 x_{28} & -0.05 x_{24} & +  0.57 x_{27} & -13.94 x_{8} & +  1.40 x_{19} & -0.27 x_{25} & +  6.08 x_{11} & -0.35 x_{23} & -5.42 x_{13} & -7.65 x_{14} & -0.14 x_{29}\\
 x_{22}   &  38.8341441223 & +  0.05 x_{32} & -0.66 x_{20} & +  0.36 x_{30} & +  0.57 x_{31} & +  0.13 x_{28} & -0.21 x_{24} & +  0.03 x_{27} & +  0.82 x_{8} & -0.14 x_{19} & -0.04 x_{25} & -18.71 x_{11} & +  0.43 x_{23} & +  9.32 x_{13} & +  4.73 x_{14} & +  0.51 x_{29}\\
 x_{12}   &  2.13466855053 & +  0.01 x_{32} & -0.01 x_{20} & -0.03 x_{30} & +  0.00 x_{31} & -0.04 x_{28} & +  0.01 x_{24} & -0.03 x_{27} & -0.37 x_{8} & +  0.01 x_{19} & +  0.02 x_{25} & +  0.33 x_{11} & -0.00 x_{23} & -0.20 x_{13} & +  0.19 x_{14} & +  0.02 x_{29}\\
 x_{6}   &  0.603924264358 & -0.00 x_{32} & +  0.05 x_{20} & +  0.02 x_{30} & -0.02 x_{31} & +  0.04 x_{28} & -0.03 x_{24} & +  0.03 x_{27} & +  0.06 x_{8} & +  0.01 x_{19} & +  0.04 x_{25} & +  0.14 x_{11} & -0.03 x_{23} & +  0.21 x_{13} & -0.16 x_{14} & +  0.01 x_{29}\\
 x_{16}   &  14.8494059752 & +  0.21 x_{32} & +  0.26 x_{20} & +  0.71 x_{30} & +  0.53 x_{31} & -0.30 x_{28} & +  0.65 x_{24} & -0.14 x_{27} & -6.68 x_{8} & +  0.32 x_{19} & +  1.01 x_{25} & -10.89 x_{11} & -0.27 x_{23} & -5.73 x_{13} & -5.21 x_{14} & -0.86 x_{29}\\
 x_{21}   &  20.044926941 & +  0.88 x_{32} & -0.88 x_{20} & -0.29 x_{30} & +  0.33 x_{31} & -0.40 x_{28} & -0.14 x_{24} & -0.18 x_{27} & +  4.07 x_{8} & -0.43 x_{19} & +  0.33 x_{25} & -4.47 x_{11} & +  0.07 x_{23} & -8.82 x_{13} & -10.89 x_{14} & +  0.25 x_{29}\\
 x_{15}   &  2.69340781826 & -0.01 x_{32} & -0.02 x_{20} & -0.01 x_{30} & -0.03 x_{31} & -0.01 x_{28} & -0.04 x_{24} & +  0.01 x_{27} & -0.29 x_{8} & +  0.01 x_{19} & -0.00 x_{25} & +  0.40 x_{11} & +  0.00 x_{23} & +  0.12 x_{13} & +  0.20 x_{14} & +  0.04 x_{29}\\
 x_{4}   &  0.835327580681 & +  0.03 x_{32} & -0.03 x_{20} & -0.00 x_{30} & +  0.03 x_{31} & +  0.03 x_{28} & -0.06 x_{24} & -0.04 x_{27} & +  1.04 x_{8} & -0.06 x_{19} & +  0.02 x_{25} & -0.32 x_{11} & +  0.04 x_{23} & +  0.23 x_{13} & +  0.85 x_{14} & +  0.01 x_{29}\\
 x_{26}   &  22.5068963429 & -0.66 x_{32} & -0.03 x_{20} & -0.04 x_{30} & -0.69 x_{31} & +  0.38 x_{28} & -0.57 x_{24} & +  0.06 x_{27} & -13.26 x_{8} & -0.01 x_{19} & +  0.23 x_{25} & +  5.78 x_{11} & -0.06 x_{23} & -2.50 x_{13} & +  7.64 x_{14} & +  1.08 x_{29}\\
 x_{3}   &  1.74329939858 & -0.01 x_{32} & +  0.03 x_{20} & -0.06 x_{30} & -0.06 x_{31} & +  0.05 x_{28} & -0.05 x_{24} & +  0.02 x_{27} & +  0.02 x_{8} & +  0.03 x_{19} & -0.02 x_{25} & +  0.86 x_{11} & -0.05 x_{23} & +  0.30 x_{13} & -0.80 x_{14} & +  0.03 x_{29}\\
 x_{5}   &  0.0278693665845 & +  0.04 x_{32} & -0.01 x_{20} & +  0.01 x_{30} & -0.01 x_{31} & +  0.03 x_{28} & +  0.02 x_{24} & +  0.02 x_{27} & +  0.37 x_{8} & -0.01 x_{19} & +  0.02 x_{25} & -0.19 x_{11} & +  0.01 x_{23} & +  0.03 x_{13} & -0.70 x_{14} & +  0.01 x_{29}\\
 x_{1}   &  1.55057834069 & -0.01 x_{32} & +  0.05 x_{20} & -0.02 x_{30} & -0.05 x_{31} & +  0.03 x_{28} & -0.02 x_{24} & +  0.05 x_{27} & +  0.55 x_{8} & +  0.02 x_{19} & -0.01 x_{25} & +  0.63 x_{11} & +  0.01 x_{23} & -0.32 x_{13} & -0.72 x_{14} & -0.00 x_{29}\\
\hline
z    &  30.9956486373 & +  0.01 x_{32} & +  0.08 x_{20} & -0.22 x_{30} & -0.01 x_{31} & +  0.39 x_{28} & -1.05 x_{24} & +  0.37 x_{27} & +  5.68 x_{8} & -0.31 x_{19} & +  0.42 x_{25} & +  3.62 x_{11} & -0.09 x_{23} & -0.83 x_{13} & +  0.71 x_{14} & +  0.56 x_{29}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{26} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  68.1329790793 & -0.61 x_{32} & +  0.40 x_{20} & -0.38 x_{30} & -1.29 x_{31} & +  1.30 x_{28} & -2.02 x_{24} & -0.31 x_{27} & -1.50 x_{26} & +  0.01 x_{19} & -0.09 x_{25} & + 15.36 x_{11} & +  0.22 x_{23} & -2.31 x_{13} & + 15.61 x_{14} & +  1.64 x_{29}\\
 x_{7}   &  3.21847494204 & -0.03 x_{32} & +  0.01 x_{20} & -0.01 x_{30} & -0.00 x_{31} & +  0.00 x_{28} & -0.00 x_{24} & +  0.02 x_{27} & +  0.03 x_{26} & +  0.04 x_{19} & +  0.01 x_{25} & -0.38 x_{11} & +  0.00 x_{23} & -0.13 x_{13} & +  0.11 x_{14} & -0.02 x_{29}\\
 x_{9}   &  2.58492346387 & +  0.02 x_{32} & +  0.01 x_{20} & +  0.00 x_{30} & -0.03 x_{31} & +  0.03 x_{28} & -0.01 x_{24} & -0.00 x_{27} & -0.04 x_{26} & +  0.04 x_{19} & +  0.02 x_{25} & +  0.27 x_{11} & -0.01 x_{23} & +  0.24 x_{13} & -0.19 x_{14} & -0.00 x_{29}\\
 x_{10}   &  0.146208502284 & +  0.07 x_{32} & -0.02 x_{20} & -0.01 x_{30} & +  0.11 x_{31} & -0.02 x_{28} & -0.02 x_{24} & -0.02 x_{27} & +  0.02 x_{26} & -0.03 x_{19} & +  0.01 x_{25} & -0.55 x_{11} & -0.01 x_{23} & +  0.97 x_{13} & +  0.43 x_{14} & -0.01 x_{29}\\
 x_{2}   &  2.94507305211 & -0.02 x_{32} & +  0.02 x_{20} & +  0.01 x_{30} & -0.04 x_{31} & +  0.06 x_{28} & -0.05 x_{24} & -0.01 x_{27} & -0.05 x_{26} & +  0.01 x_{19} & -0.01 x_{25} & +  0.33 x_{11} & +  0.04 x_{23} & +  0.46 x_{13} & +  0.92 x_{14} & +  0.07 x_{29}\\
 x_{17}   &  0.165650547969 & -0.27 x_{32} & +  0.23 x_{20} & -0.29 x_{30} & -0.48 x_{31} & -0.61 x_{28} & +  0.54 x_{24} & +  0.51 x_{27} & +  1.05 x_{26} & +  1.41 x_{19} & -0.51 x_{25} & -0.00 x_{11} & -0.29 x_{23} & -2.79 x_{13} & -15.69 x_{14} & -1.28 x_{29}\\
 x_{22}   &  40.2240777783 & +  0.01 x_{32} & -0.67 x_{20} & +  0.35 x_{30} & +  0.53 x_{31} & +  0.15 x_{28} & -0.25 x_{24} & +  0.04 x_{27} & -0.06 x_{26} & -0.14 x_{19} & -0.03 x_{25} & -18.35 x_{11} & +  0.42 x_{23} & +  9.16 x_{13} & +  5.20 x_{14} & +  0.57 x_{29}\\
 x_{12}   &  1.50454976456 & +  0.03 x_{32} & -0.01 x_{20} & -0.03 x_{30} & +  0.02 x_{31} & -0.05 x_{28} & +  0.03 x_{24} & -0.03 x_{27} & +  0.03 x_{26} & +  0.01 x_{19} & +  0.01 x_{25} & +  0.17 x_{11} & -0.00 x_{23} & -0.13 x_{13} & -0.03 x_{14} & -0.01 x_{29}\\
 x_{6}   &  0.711172936358 & -0.01 x_{32} & +  0.05 x_{20} & +  0.02 x_{30} & -0.03 x_{31} & +  0.04 x_{28} & -0.03 x_{24} & +  0.03 x_{27} & -0.00 x_{26} & +  0.01 x_{19} & +  0.04 x_{25} & +  0.17 x_{11} & -0.03 x_{23} & +  0.19 x_{13} & -0.13 x_{14} & +  0.02 x_{29}\\
 x_{16}   &  3.51848592589 & +  0.54 x_{32} & +  0.27 x_{20} & +  0.73 x_{30} & +  0.88 x_{31} & -0.49 x_{28} & +  0.94 x_{24} & -0.18 x_{27} & +  0.50 x_{26} & +  0.33 x_{19} & +  0.89 x_{25} & -13.81 x_{11} & -0.24 x_{23} & -4.47 x_{13} & -9.06 x_{14} & -1.40 x_{29}\\
 x_{21}   &  26.9513433417 & +  0.67 x_{32} & -0.89 x_{20} & -0.30 x_{30} & +  0.12 x_{31} & -0.29 x_{28} & -0.31 x_{24} & -0.16 x_{27} & -0.31 x_{26} & -0.43 x_{19} & +  0.40 x_{25} & -2.69 x_{11} & +  0.05 x_{23} & -9.58 x_{13} & -8.55 x_{14} & +  0.58 x_{29}\\
 x_{15}   &  2.20917712155 & +  0.00 x_{32} & -0.02 x_{20} & -0.01 x_{30} & -0.01 x_{31} & -0.02 x_{28} & -0.03 x_{24} & +  0.01 x_{27} & +  0.02 x_{26} & +  0.01 x_{19} & -0.01 x_{25} & +  0.28 x_{11} & +  0.00 x_{23} & +  0.18 x_{13} & +  0.03 x_{14} & +  0.02 x_{29}\\
 x_{4}   &  2.60560475527 & -0.02 x_{32} & -0.03 x_{20} & -0.00 x_{30} & -0.02 x_{31} & +  0.06 x_{28} & -0.11 x_{24} & -0.03 x_{27} & -0.08 x_{26} & -0.06 x_{19} & +  0.04 x_{25} & +  0.13 x_{11} & +  0.03 x_{23} & +  0.03 x_{13} & +  1.45 x_{14} & +  0.10 x_{29}\\
 x_{8}   &  1.69717398357 & -0.05 x_{32} & -0.00 x_{20} & -0.00 x_{30} & -0.05 x_{31} & +  0.03 x_{28} & -0.04 x_{24} & +  0.00 x_{27} & -0.08 x_{26} & -0.00 x_{19} & +  0.02 x_{25} & +  0.44 x_{11} & -0.00 x_{23} & -0.19 x_{13} & +  0.58 x_{14} & +  0.08 x_{29}\\
 x_{3}   &  1.77802949686 & -0.01 x_{32} & +  0.03 x_{20} & -0.06 x_{30} & -0.06 x_{31} & +  0.05 x_{28} & -0.05 x_{24} & +  0.02 x_{27} & -0.00 x_{26} & +  0.03 x_{19} & -0.02 x_{25} & +  0.87 x_{11} & -0.05 x_{23} & +  0.29 x_{13} & -0.79 x_{14} & +  0.03 x_{29}\\
 x_{5}   &  0.648506177447 & +  0.02 x_{32} & -0.01 x_{20} & +  0.01 x_{30} & -0.03 x_{31} & +  0.04 x_{28} & +  0.00 x_{24} & +  0.02 x_{27} & -0.03 x_{26} & -0.01 x_{19} & +  0.02 x_{25} & -0.03 x_{11} & +  0.01 x_{23} & -0.04 x_{13} & -0.49 x_{14} & +  0.04 x_{29}\\
 x_{1}   &  2.49069243428 & -0.04 x_{32} & +  0.04 x_{20} & -0.02 x_{30} & -0.08 x_{31} & +  0.04 x_{28} & -0.05 x_{24} & +  0.05 x_{27} & -0.04 x_{26} & +  0.02 x_{19} & +  0.00 x_{25} & +  0.87 x_{11} & +  0.01 x_{23} & -0.42 x_{13} & -0.40 x_{14} & +  0.04 x_{29}\\
\hline
z    &  40.6384896306 & -0.27 x_{32} & +  0.06 x_{20} & -0.24 x_{30} & -0.31 x_{31} & +  0.55 x_{28} & -1.30 x_{24} & +  0.40 x_{27} & -0.43 x_{26} & -0.31 x_{19} & +  0.52 x_{25} & +  6.09 x_{11} & -0.11 x_{23} & -1.90 x_{13} & +  3.99 x_{14} & +  1.03 x_{29}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{16} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  72.0476202222 & -0.01 x_{32} & +  0.71 x_{20} & +  0.44 x_{30} & -0.31 x_{31} & +  0.75 x_{28} & -0.98 x_{24} & -0.50 x_{27} & -0.94 x_{26} & +  0.37 x_{19} & +  0.90 x_{25} & -1.11 x_{16} & -0.04 x_{23} & -7.29 x_{13} & +  5.52 x_{14} & +  0.08 x_{29}\\
 x_{7}   &  3.12247314565 & -0.05 x_{32} & +  0.01 x_{20} & -0.03 x_{30} & -0.03 x_{31} & +  0.01 x_{28} & -0.03 x_{24} & +  0.03 x_{27} & +  0.01 x_{26} & +  0.03 x_{19} & -0.01 x_{25} & +  0.03 x_{16} & +  0.01 x_{23} & -0.01 x_{13} & +  0.35 x_{14} & +  0.01 x_{29}\\
 x_{9}   &  2.65373136705 & +  0.03 x_{32} & +  0.02 x_{20} & +  0.02 x_{30} & -0.01 x_{31} & +  0.02 x_{28} & +  0.01 x_{24} & -0.01 x_{27} & -0.03 x_{26} & +  0.05 x_{19} & +  0.03 x_{25} & -0.02 x_{16} & -0.02 x_{23} & +  0.15 x_{13} & -0.37 x_{14} & -0.03 x_{29}\\
 x_{10}   &  0.00552067966063 & +  0.05 x_{32} & -0.03 x_{20} & -0.04 x_{30} & +  0.08 x_{31} & +  0.00 x_{28} & -0.06 x_{24} & -0.01 x_{27} & +  0.00 x_{26} & -0.04 x_{19} & -0.02 x_{25} & +  0.04 x_{16} & +  0.00 x_{23} & +  1.15 x_{13} & +  0.79 x_{14} & +  0.04 x_{29}\\
 x_{2}   &  3.03016276828 & -0.01 x_{32} & +  0.02 x_{20} & +  0.03 x_{30} & -0.01 x_{31} & +  0.05 x_{28} & -0.03 x_{24} & -0.02 x_{27} & -0.04 x_{26} & +  0.01 x_{19} & +  0.01 x_{25} & -0.02 x_{16} & +  0.03 x_{23} & +  0.35 x_{13} & +  0.71 x_{14} & +  0.04 x_{29}\\
 x_{17}   &  0.165563622655 & -0.27 x_{32} & +  0.23 x_{20} & -0.29 x_{30} & -0.48 x_{31} & -0.61 x_{28} & +  0.54 x_{24} & +  0.51 x_{27} & +  1.05 x_{26} & +  1.41 x_{19} & -0.51 x_{25} & +  0.00 x_{16} & -0.29 x_{23} & -2.79 x_{13} & -15.69 x_{14} & -1.28 x_{29}\\
 x_{22}   &  35.5469270854 & -0.71 x_{32} & -1.03 x_{20} & -0.62 x_{30} & -0.64 x_{31} & +  0.80 x_{28} & -1.49 x_{24} & +  0.27 x_{27} & -0.73 x_{26} & -0.58 x_{19} & -1.21 x_{25} & +  1.33 x_{16} & +  0.74 x_{23} & + 15.10 x_{13} & + 17.25 x_{14} & +  2.44 x_{29}\\
 x_{12}   &  1.54736053643 & +  0.03 x_{32} & -0.01 x_{20} & -0.02 x_{30} & +  0.03 x_{31} & -0.05 x_{28} & +  0.04 x_{24} & -0.04 x_{27} & +  0.03 x_{26} & +  0.01 x_{19} & +  0.02 x_{25} & -0.01 x_{16} & -0.00 x_{23} & -0.19 x_{13} & -0.14 x_{14} & -0.03 x_{29}\\
 x_{6}   &  0.753696484429 & +  0.00 x_{32} & +  0.06 x_{20} & +  0.03 x_{30} & -0.02 x_{31} & +  0.03 x_{28} & -0.02 x_{24} & +  0.03 x_{27} & +  0.00 x_{26} & +  0.02 x_{19} & +  0.05 x_{25} & -0.01 x_{16} & -0.03 x_{23} & +  0.14 x_{13} & -0.23 x_{14} & -0.00 x_{29}\\
 x_{11}   &  0.254850851825 & +  0.04 x_{32} & +  0.02 x_{20} & +  0.05 x_{30} & +  0.06 x_{31} & -0.04 x_{28} & +  0.07 x_{24} & -0.01 x_{27} & +  0.04 x_{26} & +  0.02 x_{19} & +  0.06 x_{25} & -0.07 x_{16} & -0.02 x_{23} & -0.32 x_{13} & -0.66 x_{14} & -0.10 x_{29}\\
 x_{21}   &  26.2645453631 & +  0.57 x_{32} & -0.94 x_{20} & -0.45 x_{30} & -0.06 x_{31} & -0.19 x_{28} & -0.50 x_{24} & -0.12 x_{27} & -0.41 x_{26} & -0.49 x_{19} & +  0.23 x_{25} & +  0.20 x_{16} & +  0.10 x_{23} & -8.71 x_{13} & -6.78 x_{14} & +  0.86 x_{29}\\
 x_{15}   &  2.27947614386 & +  0.01 x_{32} & -0.02 x_{20} & +  0.00 x_{30} & +  0.01 x_{31} & -0.03 x_{28} & -0.01 x_{24} & +  0.00 x_{27} & +  0.03 x_{26} & +  0.01 x_{19} & +  0.01 x_{25} & -0.02 x_{16} & -0.00 x_{23} & +  0.09 x_{13} & -0.15 x_{14} & -0.01 x_{29}\\
 x_{4}   &  2.63969804768 & -0.01 x_{32} & -0.03 x_{20} & +  0.00 x_{30} & -0.01 x_{31} & +  0.05 x_{28} & -0.10 x_{24} & -0.04 x_{27} & -0.07 x_{26} & -0.06 x_{19} & +  0.05 x_{25} & -0.01 x_{16} & +  0.03 x_{23} & -0.01 x_{13} & +  1.37 x_{14} & +  0.08 x_{29}\\
 x_{8}   &  1.80831941145 & -0.03 x_{32} & +  0.01 x_{20} & +  0.02 x_{30} & -0.02 x_{31} & +  0.01 x_{28} & -0.01 x_{24} & -0.00 x_{27} & -0.06 x_{26} & +  0.01 x_{19} & +  0.05 x_{25} & -0.03 x_{16} & -0.01 x_{23} & -0.33 x_{13} & +  0.29 x_{14} & +  0.04 x_{29}\\
 x_{3}   &  1.99994448675 & +  0.02 x_{32} & +  0.05 x_{20} & -0.01 x_{30} & -0.00 x_{31} & +  0.02 x_{28} & +  0.01 x_{24} & +  0.01 x_{27} & +  0.03 x_{26} & +  0.06 x_{19} & +  0.04 x_{25} & -0.06 x_{16} & -0.07 x_{23} & +  0.01 x_{13} & -1.36 x_{14} & -0.06 x_{29}\\
 x_{5}   &  0.641844544865 & +  0.02 x_{32} & -0.01 x_{20} & +  0.00 x_{30} & -0.03 x_{31} & +  0.04 x_{28} & +  0.00 x_{24} & +  0.02 x_{27} & -0.03 x_{26} & -0.01 x_{19} & +  0.02 x_{25} & +  0.00 x_{16} & +  0.01 x_{23} & -0.03 x_{13} & -0.47 x_{14} & +  0.04 x_{29}\\
 x_{1}   &  2.71247653435 & -0.00 x_{32} & +  0.06 x_{20} & +  0.02 x_{30} & -0.03 x_{31} & +  0.01 x_{28} & +  0.01 x_{24} & +  0.04 x_{27} & -0.01 x_{26} & +  0.04 x_{19} & +  0.06 x_{25} & -0.06 x_{16} & -0.01 x_{23} & -0.70 x_{13} & -0.97 x_{14} & -0.05 x_{29}\\
\hline
z    &  42.1913848672 & -0.03 x_{32} & +  0.19 x_{20} & +  0.09 x_{30} & +  0.08 x_{31} & +  0.34 x_{28} & -0.88 x_{24} & +  0.32 x_{27} & -0.21 x_{26} & -0.16 x_{19} & +  0.91 x_{25} & -0.44 x_{16} & -0.22 x_{23} & -3.87 x_{13} & -0.01 x_{14} & +  0.41 x_{29}\\
\end{array}\]


 $ x_{20} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  72.1876259922 & +  1.25 x_{32} & -25.36 x_{10} & -0.46 x_{30} & +  1.60 x_{31} & +  0.77 x_{28} & -2.45 x_{24} & -0.79 x_{27} & -0.90 x_{26} & -0.76 x_{19} & +  0.30 x_{25} & -0.10 x_{16} & +  0.06 x_{23} & + 21.80 x_{13} & + 25.49 x_{14} & +  1.16 x_{29}\\
 x_{7}   &  3.12368388846 & -0.03 x_{32} & -0.22 x_{10} & -0.03 x_{30} & -0.01 x_{31} & +  0.01 x_{28} & -0.04 x_{24} & +  0.03 x_{27} & +  0.01 x_{26} & +  0.02 x_{19} & -0.02 x_{25} & +  0.04 x_{16} & +  0.01 x_{23} & +  0.24 x_{13} & +  0.53 x_{14} & +  0.02 x_{29}\\
 x_{9}   &  2.65762489515 & +  0.07 x_{32} & -0.71 x_{10} & -0.01 x_{30} & +  0.04 x_{31} & +  0.02 x_{28} & -0.03 x_{24} & -0.02 x_{27} & -0.03 x_{26} & +  0.02 x_{19} & +  0.02 x_{25} & +  0.01 x_{16} & -0.01 x_{23} & +  0.96 x_{13} & +  0.19 x_{14} & +  0.00 x_{29}\\
 x_{20}   &  0.198195383233 & +  1.78 x_{32} & -35.90 x_{10} & -1.28 x_{30} & +  2.71 x_{31} & +  0.03 x_{28} & -2.08 x_{24} & -0.40 x_{27} & +  0.06 x_{26} & -1.61 x_{19} & -0.86 x_{25} & +  1.44 x_{16} & +  0.14 x_{23} & + 41.18 x_{13} & + 28.27 x_{14} & +  1.53 x_{29}\\
 x_{2}   &  3.03493613043 & +  0.04 x_{32} & -0.86 x_{10} & -0.00 x_{30} & +  0.05 x_{31} & +  0.05 x_{28} & -0.08 x_{24} & -0.03 x_{27} & -0.04 x_{26} & -0.02 x_{19} & -0.01 x_{25} & +  0.01 x_{16} & +  0.03 x_{23} & +  1.34 x_{13} & +  1.39 x_{14} & +  0.07 x_{29}\\
 x_{17}   &  0.210329892788 & +  0.13 x_{32} & -8.11 x_{10} & -0.58 x_{30} & +  0.13 x_{31} & -0.60 x_{28} & +  0.07 x_{24} & +  0.42 x_{27} & +  1.07 x_{26} & +  1.05 x_{19} & -0.70 x_{25} & +  0.32 x_{16} & -0.25 x_{23} & +  6.51 x_{13} & -9.30 x_{14} & -0.94 x_{29}\\
 x_{22}   &  35.3425588958 & -2.55 x_{32} & + 37.02 x_{10} & +  0.70 x_{30} & -3.44 x_{31} & +  0.77 x_{28} & +  0.65 x_{24} & +  0.68 x_{27} & -0.80 x_{26} & +  1.08 x_{19} & -0.33 x_{25} & -0.15 x_{16} & +  0.59 x_{23} & -27.35 x_{13} & -11.91 x_{14} & +  0.87 x_{29}\\
 x_{12}   &  1.54545623685 & +  0.02 x_{32} & +  0.34 x_{10} & -0.01 x_{30} & +  0.01 x_{31} & -0.05 x_{28} & +  0.06 x_{24} & -0.03 x_{27} & +  0.03 x_{26} & +  0.03 x_{19} & +  0.03 x_{25} & -0.03 x_{16} & -0.01 x_{23} & -0.58 x_{13} & -0.41 x_{14} & -0.04 x_{29}\\
 x_{6}   &  0.764759667944 & +  0.10 x_{32} & -2.00 x_{10} & -0.04 x_{30} & +  0.14 x_{31} & +  0.04 x_{28} & -0.13 x_{24} & +  0.00 x_{27} & +  0.00 x_{26} & -0.07 x_{19} & +  0.00 x_{25} & +  0.07 x_{16} & -0.02 x_{23} & +  2.44 x_{13} & +  1.34 x_{14} & +  0.08 x_{29}\\
 x_{11}   &  0.258789542688 & +  0.07 x_{32} & -0.71 x_{10} & +  0.03 x_{30} & +  0.12 x_{31} & -0.04 x_{28} & +  0.03 x_{24} & -0.02 x_{27} & +  0.04 x_{26} & -0.01 x_{19} & +  0.05 x_{25} & -0.04 x_{16} & -0.01 x_{23} & +  0.49 x_{13} & -0.09 x_{14} & -0.07 x_{29}\\
 x_{21}   &  26.0775831603 & -1.11 x_{32} & + 33.87 x_{10} & +  0.76 x_{30} & -2.61 x_{31} & -0.22 x_{28} & +  1.46 x_{24} & +  0.25 x_{27} & -0.46 x_{26} & +  1.02 x_{19} & +  1.03 x_{25} & -1.16 x_{16} & -0.04 x_{23} & -47.55 x_{13} & -33.45 x_{14} & -0.58 x_{29}\\
 x_{15}   &  2.27591863331 & -0.02 x_{32} & +  0.64 x_{10} & +  0.03 x_{30} & -0.04 x_{31} & -0.03 x_{28} & +  0.02 x_{24} & +  0.01 x_{27} & +  0.03 x_{26} & +  0.04 x_{19} & +  0.02 x_{25} & -0.05 x_{16} & -0.01 x_{23} & -0.65 x_{13} & -0.66 x_{14} & -0.04 x_{29}\\
 x_{4}   &  2.63431298619 & -0.06 x_{32} & +  0.98 x_{10} & +  0.04 x_{30} & -0.09 x_{31} & +  0.05 x_{28} & -0.04 x_{24} & -0.02 x_{27} & -0.08 x_{26} & -0.02 x_{19} & +  0.07 x_{25} & -0.05 x_{16} & +  0.03 x_{23} & -1.13 x_{13} & +  0.60 x_{14} & +  0.04 x_{29}\\
 x_{8}   &  1.8096265322 & -0.02 x_{32} & -0.24 x_{10} & +  0.01 x_{30} & -0.01 x_{31} & +  0.01 x_{28} & -0.03 x_{24} & -0.00 x_{27} & -0.06 x_{26} & -0.00 x_{19} & +  0.04 x_{25} & -0.02 x_{16} & -0.01 x_{23} & -0.06 x_{13} & +  0.48 x_{14} & +  0.05 x_{29}\\
 x_{3}   &  2.00957206569 & +  0.11 x_{32} & -1.74 x_{10} & -0.08 x_{30} & +  0.13 x_{31} & +  0.02 x_{28} & -0.09 x_{24} & -0.01 x_{27} & +  0.03 x_{26} & -0.02 x_{19} & -0.00 x_{25} & +  0.01 x_{16} & -0.06 x_{23} & +  2.01 x_{13} & +  0.01 x_{14} & +  0.01 x_{29}\\
 x_{5}   &  0.639809489975 & +  0.00 x_{32} & +  0.37 x_{10} & +  0.02 x_{30} & -0.06 x_{31} & +  0.04 x_{28} & +  0.02 x_{24} & +  0.03 x_{27} & -0.03 x_{26} & +  0.01 x_{19} & +  0.03 x_{25} & -0.01 x_{16} & +  0.01 x_{23} & -0.46 x_{13} & -0.76 x_{14} & +  0.03 x_{29}\\
 x_{1}   &  2.72462190221 & +  0.11 x_{32} & -2.20 x_{10} & -0.06 x_{30} & +  0.14 x_{31} & +  0.02 x_{28} & -0.11 x_{24} & +  0.02 x_{27} & -0.01 x_{26} & -0.06 x_{19} & +  0.01 x_{25} & +  0.02 x_{16} & +  0.00 x_{23} & +  1.82 x_{13} & +  0.76 x_{14} & +  0.05 x_{29}\\
\hline
z    &  42.2282063603 & +  0.30 x_{32} & -6.67 x_{10} & -0.15 x_{30} & +  0.58 x_{31} & +  0.34 x_{28} & -1.27 x_{24} & +  0.25 x_{27} & -0.19 x_{26} & -0.46 x_{19} & +  0.75 x_{25} & -0.17 x_{16} & -0.19 x_{23} & +  3.78 x_{13} & +  5.24 x_{14} & +  0.69 x_{29}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{21} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  84.1418991491 & +  0.74 x_{32} & -9.84 x_{10} & -0.12 x_{30} & +  0.40 x_{31} & +  0.67 x_{28} & -1.78 x_{24} & -0.67 x_{27} & -1.11 x_{26} & -0.30 x_{19} & +  0.77 x_{25} & -0.63 x_{16} & +  0.04 x_{23} & -0.46 x_{21} & + 10.16 x_{14} & +  0.89 x_{29}\\
 x_{7}   &  3.25474805301 & -0.04 x_{32} & -0.05 x_{10} & -0.03 x_{30} & -0.02 x_{31} & +  0.01 x_{28} & -0.04 x_{24} & +  0.03 x_{27} & +  0.01 x_{26} & +  0.03 x_{19} & -0.01 x_{25} & +  0.03 x_{16} & +  0.01 x_{23} & -0.01 x_{21} & +  0.36 x_{14} & +  0.02 x_{29}\\
 x_{9}   &  3.18507128881 & +  0.04 x_{32} & -0.02 x_{10} & +  0.01 x_{30} & -0.01 x_{31} & +  0.02 x_{28} & -0.00 x_{24} & -0.01 x_{27} & -0.04 x_{26} & +  0.04 x_{19} & +  0.04 x_{25} & -0.01 x_{16} & -0.01 x_{23} & -0.02 x_{21} & -0.49 x_{14} & -0.01 x_{29}\\
 x_{20}   &  22.7785649163 & +  0.82 x_{32} & -6.58 x_{10} & -0.62 x_{30} & +  0.45 x_{31} & -0.16 x_{28} & -0.81 x_{24} & -0.18 x_{27} & -0.34 x_{26} & -0.72 x_{19} & +  0.04 x_{25} & +  0.43 x_{16} & +  0.11 x_{23} & -0.87 x_{21} & -0.69 x_{14} & +  1.02 x_{29}\\
 x_{2}   &  3.77239023196 & +  0.00 x_{32} & +  0.09 x_{10} & +  0.02 x_{30} & -0.02 x_{31} & +  0.04 x_{28} & -0.04 x_{24} & -0.02 x_{27} & -0.05 x_{26} & +  0.00 x_{19} & +  0.02 x_{25} & -0.02 x_{16} & +  0.03 x_{23} & -0.03 x_{21} & +  0.44 x_{14} & +  0.06 x_{29}\\
 x_{17}   &  3.77804679389 & -0.02 x_{32} & -3.48 x_{10} & -0.48 x_{30} & -0.23 x_{31} & -0.63 x_{28} & +  0.27 x_{24} & +  0.45 x_{27} & +  1.00 x_{26} & +  1.19 x_{19} & -0.56 x_{25} & +  0.17 x_{16} & -0.26 x_{23} & -0.14 x_{21} & -13.88 x_{14} & -1.02 x_{29}\\
 x_{22}   &  20.3418826497 & -1.91 x_{32} & + 17.54 x_{10} & +  0.26 x_{30} & -1.93 x_{31} & +  0.90 x_{28} & -0.19 x_{24} & +  0.54 x_{27} & -0.53 x_{26} & +  0.49 x_{19} & -0.93 x_{25} & +  0.52 x_{16} & +  0.61 x_{23} & +  0.58 x_{21} & +  7.33 x_{14} & +  1.20 x_{29}\\
 x_{12}   &  1.22594958186 & +  0.03 x_{32} & -0.07 x_{10} & -0.02 x_{30} & +  0.04 x_{31} & -0.05 x_{28} & +  0.04 x_{24} & -0.04 x_{27} & +  0.04 x_{26} & +  0.01 x_{19} & +  0.02 x_{25} & -0.01 x_{16} & -0.00 x_{23} & +  0.01 x_{21} & +  0.00 x_{14} & -0.04 x_{29}\\
 x_{6}   &  2.10243879225 & +  0.04 x_{32} & -0.27 x_{10} & -0.00 x_{30} & +  0.00 x_{31} & +  0.02 x_{28} & -0.06 x_{24} & +  0.02 x_{27} & -0.02 x_{26} & -0.02 x_{19} & +  0.06 x_{25} & +  0.01 x_{16} & -0.02 x_{23} & -0.05 x_{21} & -0.37 x_{14} & +  0.05 x_{29}\\
 x_{11}   &  0.529981479818 & +  0.06 x_{32} & -0.36 x_{10} & +  0.04 x_{30} & +  0.09 x_{31} & -0.04 x_{28} & +  0.04 x_{24} & -0.02 x_{27} & +  0.03 x_{26} & +  0.00 x_{19} & +  0.06 x_{25} & -0.06 x_{16} & -0.01 x_{23} & -0.01 x_{21} & -0.44 x_{14} & -0.08 x_{29}\\
 x_{13}   &  0.548392690007 & -0.02 x_{32} & +  0.71 x_{10} & +  0.02 x_{30} & -0.05 x_{31} & -0.00 x_{28} & +  0.03 x_{24} & +  0.01 x_{27} & -0.01 x_{26} & +  0.02 x_{19} & +  0.02 x_{25} & -0.02 x_{16} & -0.00 x_{23} & -0.02 x_{21} & -0.70 x_{14} & -0.01 x_{29}\\
 x_{15}   &  1.91824288071 & -0.00 x_{32} & +  0.18 x_{10} & +  0.02 x_{30} & -0.01 x_{31} & -0.03 x_{28} & +  0.00 x_{24} & +  0.01 x_{27} & +  0.04 x_{26} & +  0.03 x_{19} & +  0.01 x_{25} & -0.03 x_{16} & -0.00 x_{23} & +  0.01 x_{21} & -0.20 x_{14} & -0.03 x_{29}\\
 x_{4}   &  2.01337593732 & -0.04 x_{32} & +  0.17 x_{10} & +  0.02 x_{30} & -0.03 x_{31} & +  0.06 x_{28} & -0.08 x_{24} & -0.03 x_{27} & -0.06 x_{26} & -0.04 x_{19} & +  0.04 x_{25} & -0.02 x_{16} & +  0.03 x_{23} & +  0.02 x_{21} & +  1.39 x_{14} & +  0.06 x_{29}\\
 x_{8}   &  1.77767481612 & -0.02 x_{32} & -0.28 x_{10} & +  0.01 x_{30} & -0.00 x_{31} & +  0.01 x_{28} & -0.03 x_{24} & -0.00 x_{27} & -0.06 x_{26} & -0.00 x_{19} & +  0.04 x_{25} & -0.02 x_{16} & -0.01 x_{23} & +  0.00 x_{21} & +  0.52 x_{14} & +  0.05 x_{29}\\
 x_{3}   &  3.11288899126 & +  0.06 x_{32} & -0.31 x_{10} & -0.04 x_{30} & +  0.02 x_{31} & +  0.01 x_{28} & -0.03 x_{24} & +  0.00 x_{27} & +  0.01 x_{26} & +  0.02 x_{19} & +  0.04 x_{25} & -0.04 x_{16} & -0.06 x_{23} & -0.04 x_{21} & -1.40 x_{14} & -0.01 x_{29}\\
 x_{5}   &  0.389160139001 & +  0.01 x_{32} & +  0.04 x_{10} & +  0.01 x_{30} & -0.03 x_{31} & +  0.05 x_{28} & +  0.01 x_{24} & +  0.02 x_{27} & -0.02 x_{26} & -0.00 x_{19} & +  0.02 x_{25} & -0.00 x_{16} & +  0.01 x_{23} & +  0.01 x_{21} & -0.44 x_{14} & +  0.03 x_{29}\\
 x_{1}   &  3.72261731946 & +  0.07 x_{32} & -0.90 x_{10} & -0.03 x_{30} & +  0.04 x_{31} & +  0.01 x_{28} & -0.06 x_{24} & +  0.03 x_{27} & -0.02 x_{26} & -0.02 x_{19} & +  0.05 x_{25} & -0.02 x_{16} & +  0.00 x_{23} & -0.04 x_{21} & -0.52 x_{14} & +  0.02 x_{29}\\
\hline
z    &  44.300460596 & +  0.21 x_{32} & -3.98 x_{10} & -0.09 x_{30} & +  0.37 x_{31} & +  0.32 x_{28} & -1.15 x_{24} & +  0.27 x_{27} & -0.23 x_{26} & -0.38 x_{19} & +  0.83 x_{25} & -0.27 x_{16} & -0.19 x_{23} & -0.08 x_{21} & +  2.58 x_{14} & +  0.65 x_{29}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  86.9085513388 & +  0.72 x_{32} & -12.38 x_{10} & -0.47 x_{30} & +  0.24 x_{31} & +  0.21 x_{28} & -1.58 x_{24} & -0.34 x_{27} & -0.38 x_{26} & +  0.57 x_{19} & +  0.36 x_{25} & -0.51 x_{16} & -0.15 x_{23} & -0.56 x_{21} & -0.73 x_{17} & +  0.14 x_{29}\\
 x_{7}   &  3.35255481864 & -0.04 x_{32} & -0.14 x_{10} & -0.04 x_{30} & -0.03 x_{31} & -0.00 x_{28} & -0.03 x_{24} & +  0.04 x_{27} & +  0.04 x_{26} & +  0.06 x_{19} & -0.02 x_{25} & +  0.03 x_{16} & +  0.01 x_{23} & -0.01 x_{21} & -0.03 x_{17} & -0.00 x_{29}\\
 x_{9}   &  3.05244924303 & +  0.04 x_{32} & +  0.10 x_{10} & +  0.02 x_{30} & -0.01 x_{31} & +  0.04 x_{28} & -0.01 x_{24} & -0.03 x_{27} & -0.07 x_{26} & -0.01 x_{19} & +  0.06 x_{25} & -0.02 x_{16} & -0.01 x_{23} & -0.02 x_{21} & +  0.04 x_{17} & +  0.02 x_{29}\\
 x_{20}   &  22.5911421707 & +  0.82 x_{32} & -6.40 x_{10} & -0.60 x_{30} & +  0.46 x_{31} & -0.13 x_{28} & -0.82 x_{24} & -0.20 x_{27} & -0.39 x_{26} & -0.78 x_{19} & +  0.07 x_{25} & +  0.42 x_{16} & +  0.13 x_{23} & -0.86 x_{21} & +  0.05 x_{17} & +  1.07 x_{29}\\
 x_{2}   &  3.89236491104 & +  0.00 x_{32} & -0.02 x_{10} & +  0.00 x_{30} & -0.03 x_{31} & +  0.02 x_{28} & -0.03 x_{24} & -0.00 x_{27} & -0.02 x_{26} & +  0.04 x_{19} & +  0.00 x_{25} & -0.02 x_{16} & +  0.03 x_{23} & -0.03 x_{21} & -0.03 x_{17} & +  0.03 x_{29}\\
 x_{14}   &  0.272226654389 & -0.00 x_{32} & -0.25 x_{10} & -0.03 x_{30} & -0.02 x_{31} & -0.05 x_{28} & +  0.02 x_{24} & +  0.03 x_{27} & +  0.07 x_{26} & +  0.09 x_{19} & -0.04 x_{25} & +  0.01 x_{16} & -0.02 x_{23} & -0.01 x_{21} & -0.07 x_{17} & -0.07 x_{29}\\
 x_{22}   &  22.3383248943 & -1.92 x_{32} & + 15.70 x_{10} & +  0.01 x_{30} & -2.05 x_{31} & +  0.57 x_{28} & -0.05 x_{24} & +  0.78 x_{27} & +  0.00 x_{26} & +  1.12 x_{19} & -1.22 x_{25} & +  0.60 x_{16} & +  0.48 x_{23} & +  0.50 x_{21} & -0.53 x_{17} & +  0.67 x_{29}\\
 x_{12}   &  1.2262337559 & +  0.03 x_{32} & -0.07 x_{10} & -0.02 x_{30} & +  0.04 x_{31} & -0.05 x_{28} & +  0.04 x_{24} & -0.04 x_{27} & +  0.04 x_{26} & +  0.01 x_{19} & +  0.02 x_{25} & -0.01 x_{16} & -0.00 x_{23} & +  0.01 x_{21} & -0.00 x_{17} & -0.04 x_{29}\\
 x_{6}   &  2.00113957698 & +  0.04 x_{32} & -0.17 x_{10} & +  0.01 x_{30} & +  0.01 x_{31} & +  0.04 x_{28} & -0.07 x_{24} & +  0.01 x_{27} & -0.05 x_{26} & -0.05 x_{19} & +  0.07 x_{25} & +  0.00 x_{16} & -0.02 x_{23} & -0.05 x_{21} & +  0.03 x_{17} & +  0.08 x_{29}\\
 x_{11}   &  0.4095380645 & +  0.06 x_{32} & -0.25 x_{10} & +  0.05 x_{30} & +  0.10 x_{31} & -0.02 x_{28} & +  0.03 x_{24} & -0.03 x_{27} & +  0.00 x_{26} & -0.04 x_{19} & +  0.08 x_{25} & -0.06 x_{16} & -0.01 x_{23} & -0.01 x_{21} & +  0.03 x_{17} & -0.05 x_{29}\\
 x_{13}   &  0.35692673598 & -0.02 x_{32} & +  0.89 x_{10} & +  0.04 x_{30} & -0.04 x_{31} & +  0.03 x_{28} & +  0.02 x_{24} & -0.02 x_{27} & -0.06 x_{26} & -0.04 x_{19} & +  0.05 x_{25} & -0.03 x_{16} & +  0.01 x_{23} & -0.01 x_{21} & +  0.05 x_{17} & +  0.04 x_{29}\\
 x_{15}   &  1.86478439461 & -0.00 x_{32} & +  0.23 x_{10} & +  0.02 x_{30} & -0.00 x_{31} & -0.02 x_{28} & -0.00 x_{24} & -0.00 x_{27} & +  0.02 x_{26} & +  0.01 x_{19} & +  0.02 x_{25} & -0.03 x_{16} & -0.00 x_{23} & +  0.02 x_{21} & +  0.01 x_{17} & -0.02 x_{29}\\
 x_{4}   &  2.39297600586 & -0.04 x_{32} & -0.18 x_{10} & -0.03 x_{30} & -0.05 x_{31} & -0.01 x_{28} & -0.05 x_{24} & +  0.01 x_{27} & +  0.04 x_{26} & +  0.08 x_{19} & -0.01 x_{25} & -0.00 x_{16} & +  0.00 x_{23} & +  0.01 x_{21} & -0.10 x_{17} & -0.04 x_{29}\\
 x_{8}   &  1.918578406 & -0.02 x_{32} & -0.41 x_{10} & -0.01 x_{30} & -0.01 x_{31} & -0.01 x_{28} & -0.02 x_{24} & +  0.01 x_{27} & -0.02 x_{26} & +  0.04 x_{19} & +  0.02 x_{25} & -0.01 x_{16} & -0.02 x_{23} & -0.00 x_{21} & -0.04 x_{17} & +  0.01 x_{29}\\
 x_{3}   &  2.73061544602 & +  0.06 x_{32} & +  0.04 x_{10} & +  0.00 x_{30} & +  0.04 x_{31} & +  0.08 x_{28} & -0.06 x_{24} & -0.04 x_{27} & -0.09 x_{26} & -0.10 x_{19} & +  0.10 x_{25} & -0.06 x_{16} & -0.04 x_{23} & -0.03 x_{21} & +  0.10 x_{17} & +  0.09 x_{29}\\
 x_{5}   &  0.270199162262 & +  0.01 x_{32} & +  0.15 x_{10} & +  0.03 x_{30} & -0.03 x_{31} & +  0.07 x_{28} & +  0.00 x_{24} & +  0.01 x_{27} & -0.06 x_{26} & -0.04 x_{19} & +  0.04 x_{25} & -0.01 x_{16} & +  0.02 x_{23} & +  0.01 x_{21} & +  0.03 x_{17} & +  0.06 x_{29}\\
 x_{1}   &  3.58058533285 & +  0.07 x_{32} & -0.77 x_{10} & -0.01 x_{30} & +  0.05 x_{31} & +  0.03 x_{28} & -0.07 x_{24} & +  0.01 x_{27} & -0.06 x_{26} & -0.07 x_{19} & +  0.07 x_{25} & -0.03 x_{16} & +  0.01 x_{23} & -0.03 x_{21} & +  0.04 x_{17} & +  0.06 x_{29}\\
\hline
z    &  45.0028173363 & +  0.20 x_{32} & -4.62 x_{10} & -0.18 x_{30} & +  0.33 x_{31} & +  0.21 x_{28} & -1.10 x_{24} & +  0.35 x_{27} & -0.05 x_{26} & -0.16 x_{19} & +  0.73 x_{25} & -0.24 x_{16} & -0.24 x_{23} & -0.10 x_{21} & -0.19 x_{17} & +  0.46 x_{29}\\
\end{array}\]


 $ x_{25} $ enters and $ x_{14} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  89.3451376234 & +  0.71 x_{32} & -14.62 x_{10} & -0.78 x_{30} & +  0.09 x_{31} & -0.20 x_{28} & -1.40 x_{24} & -0.05 x_{27} & +  0.27 x_{26} & +  1.34 x_{19} & -8.95 x_{14} & -0.40 x_{16} & -0.31 x_{23} & -0.65 x_{21} & -1.38 x_{17} & -0.51 x_{29}\\
 x_{7}   &  3.18786341713 & -0.04 x_{32} & +  0.01 x_{10} & -0.02 x_{30} & -0.02 x_{31} & +  0.02 x_{28} & -0.04 x_{24} & +  0.02 x_{27} & -0.01 x_{26} & +  0.01 x_{19} & +  0.60 x_{14} & +  0.03 x_{16} & +  0.02 x_{23} & -0.00 x_{21} & +  0.02 x_{17} & +  0.04 x_{29}\\
 x_{9}   &  3.43505188645 & +  0.04 x_{32} & -0.25 x_{10} & -0.02 x_{30} & -0.03 x_{31} & -0.02 x_{28} & +  0.02 x_{24} & +  0.02 x_{27} & +  0.03 x_{26} & +  0.11 x_{19} & -1.41 x_{14} & -0.00 x_{16} & -0.03 x_{23} & -0.03 x_{21} & -0.07 x_{17} & -0.08 x_{29}\\
 x_{20}   &  23.046846589 & +  0.82 x_{32} & -6.82 x_{10} & -0.65 x_{30} & +  0.43 x_{31} & -0.21 x_{28} & -0.79 x_{24} & -0.15 x_{27} & -0.27 x_{26} & -0.64 x_{19} & -1.67 x_{14} & +  0.44 x_{16} & +  0.09 x_{23} & -0.88 x_{21} & -0.07 x_{17} & +  0.95 x_{29}\\
 x_{2}   &  3.91734764523 & +  0.00 x_{32} & -0.04 x_{10} & -0.00 x_{30} & -0.03 x_{31} & +  0.02 x_{28} & -0.03 x_{24} & -0.00 x_{27} & -0.01 x_{26} & +  0.05 x_{19} & -0.09 x_{14} & -0.02 x_{16} & +  0.02 x_{23} & -0.03 x_{21} & -0.04 x_{17} & +  0.02 x_{29}\\
 x_{25}   &  6.72178377499 & -0.04 x_{32} & -6.18 x_{10} & -0.85 x_{30} & -0.40 x_{31} & -1.12 x_{28} & +  0.49 x_{24} & +  0.80 x_{27} & +  1.78 x_{26} & +  2.11 x_{19} & -24.69 x_{14} & +  0.29 x_{16} & -0.46 x_{23} & -0.24 x_{21} & -1.78 x_{17} & -1.81 x_{29}\\
 x_{22}   &  14.1120442209 & -1.87 x_{32} & + 23.27 x_{10} & +  1.05 x_{30} & -1.56 x_{31} & +  1.94 x_{28} & -0.64 x_{24} & -0.21 x_{27} & -2.18 x_{26} & -1.46 x_{19} & + 30.22 x_{14} & +  0.24 x_{16} & +  1.04 x_{23} & +  0.80 x_{21} & +  1.65 x_{17} & +  2.88 x_{29}\\
 x_{12}   &  1.3558792031 & +  0.03 x_{32} & -0.19 x_{10} & -0.03 x_{30} & +  0.03 x_{31} & -0.07 x_{28} & +  0.05 x_{24} & -0.02 x_{27} & +  0.07 x_{26} & +  0.05 x_{19} & -0.48 x_{14} & -0.01 x_{16} & -0.01 x_{23} & +  0.01 x_{21} & -0.03 x_{17} & -0.07 x_{29}\\
 x_{6}   &  2.48963410171 & +  0.04 x_{32} & -0.62 x_{10} & -0.05 x_{30} & -0.02 x_{31} & -0.04 x_{28} & -0.03 x_{24} & +  0.06 x_{27} & +  0.08 x_{26} & +  0.10 x_{19} & -1.79 x_{14} & +  0.03 x_{16} & -0.05 x_{23} & -0.07 x_{21} & -0.10 x_{17} & -0.05 x_{29}\\
 x_{11}   &  0.922994483479 & +  0.06 x_{32} & -0.72 x_{10} & -0.01 x_{30} & +  0.07 x_{31} & -0.10 x_{28} & +  0.07 x_{24} & +  0.03 x_{27} & +  0.14 x_{26} & +  0.13 x_{19} & -1.89 x_{14} & -0.04 x_{16} & -0.04 x_{23} & -0.02 x_{21} & -0.10 x_{17} & -0.18 x_{29}\\
 x_{13}   &  0.694587507918 & -0.02 x_{32} & +  0.58 x_{10} & -0.00 x_{30} & -0.06 x_{31} & -0.03 x_{28} & +  0.04 x_{24} & +  0.02 x_{27} & +  0.03 x_{26} & +  0.07 x_{19} & -1.24 x_{14} & -0.02 x_{16} & -0.01 x_{23} & -0.03 x_{21} & -0.04 x_{17} & -0.05 x_{29}\\
 x_{15}   &  1.98295303277 & -0.00 x_{32} & +  0.12 x_{10} & +  0.01 x_{30} & -0.01 x_{31} & -0.04 x_{28} & +  0.01 x_{24} & +  0.01 x_{27} & +  0.05 x_{26} & +  0.05 x_{19} & -0.43 x_{14} & -0.03 x_{16} & -0.01 x_{23} & +  0.01 x_{21} & -0.02 x_{17} & -0.05 x_{29}\\
 x_{4}   &  2.31494645123 & -0.04 x_{32} & -0.11 x_{10} & -0.02 x_{30} & -0.04 x_{31} & +  0.01 x_{28} & -0.06 x_{24} & +  0.01 x_{27} & +  0.02 x_{26} & +  0.05 x_{19} & +  0.29 x_{14} & -0.01 x_{16} & +  0.01 x_{23} & +  0.01 x_{21} & -0.08 x_{17} & -0.02 x_{29}\\
 x_{8}   &  2.0352795255 & -0.02 x_{32} & -0.52 x_{10} & -0.02 x_{30} & -0.02 x_{31} & -0.03 x_{28} & -0.01 x_{24} & +  0.03 x_{27} & +  0.01 x_{26} & +  0.08 x_{19} & -0.43 x_{14} & -0.01 x_{16} & -0.03 x_{23} & -0.01 x_{21} & -0.07 x_{17} & -0.02 x_{29}\\
 x_{3}   &  3.40290427 & +  0.06 x_{32} & -0.58 x_{10} & -0.08 x_{30} & +  0.00 x_{31} & -0.04 x_{28} & -0.01 x_{24} & +  0.04 x_{27} & +  0.09 x_{26} & +  0.11 x_{19} & -2.47 x_{14} & -0.03 x_{16} & -0.08 x_{23} & -0.05 x_{21} & -0.08 x_{17} & -0.09 x_{29}\\
 x_{5}   &  0.523031789649 & +  0.01 x_{32} & -0.08 x_{10} & -0.01 x_{30} & -0.04 x_{31} & +  0.02 x_{28} & +  0.02 x_{24} & +  0.04 x_{27} & +  0.01 x_{26} & +  0.04 x_{19} & -0.93 x_{14} & +  0.00 x_{16} & -0.00 x_{23} & +  0.00 x_{21} & -0.04 x_{17} & -0.01 x_{29}\\
 x_{1}   &  4.03782622294 & +  0.06 x_{32} & -1.19 x_{10} & -0.07 x_{30} & +  0.02 x_{31} & -0.05 x_{28} & -0.04 x_{24} & +  0.07 x_{27} & +  0.06 x_{26} & +  0.08 x_{19} & -1.68 x_{14} & -0.01 x_{16} & -0.02 x_{23} & -0.05 x_{21} & -0.08 x_{17} & -0.06 x_{29}\\
\hline
z    &  49.9003420692 & +  0.17 x_{32} & -9.13 x_{10} & -0.80 x_{30} & +  0.04 x_{31} & -0.61 x_{28} & -0.75 x_{24} & +  0.94 x_{27} & +  1.25 x_{26} & +  1.37 x_{19} & -17.99 x_{14} & -0.02 x_{16} & -0.58 x_{23} & -0.28 x_{21} & -1.48 x_{17} & -0.86 x_{29}\\
\end{array}\]


 $ x_{19} $ enters and $ x_{22} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  102.222708632 & -1.00 x_{32} & +  6.61 x_{10} & +  0.18 x_{30} & -1.33 x_{31} & +  1.57 x_{28} & -1.99 x_{24} & -0.24 x_{27} & -1.72 x_{26} & -0.91 x_{22} & + 18.62 x_{14} & -0.18 x_{16} & +  0.63 x_{23} & +  0.08 x_{21} & +  0.13 x_{17} & +  2.12 x_{29}\\
 x_{7}   &  3.26097372302 & -0.05 x_{32} & +  0.13 x_{10} & -0.02 x_{30} & -0.03 x_{31} & +  0.03 x_{28} & -0.04 x_{24} & +  0.02 x_{27} & -0.02 x_{26} & -0.01 x_{22} & +  0.76 x_{14} & +  0.03 x_{16} & +  0.02 x_{23} & +  0.00 x_{21} & +  0.03 x_{17} & +  0.05 x_{29}\\
 x_{9}   &  4.53611360628 & -0.10 x_{32} & +  1.57 x_{10} & +  0.06 x_{30} & -0.15 x_{31} & +  0.13 x_{28} & -0.03 x_{24} & +  0.00 x_{27} & -0.14 x_{26} & -0.08 x_{22} & +  0.95 x_{14} & +  0.02 x_{16} & +  0.05 x_{23} & +  0.03 x_{21} & +  0.06 x_{17} & +  0.15 x_{29}\\
 x_{20}   &  16.8908042833 & +  1.63 x_{32} & -16.97 x_{10} & -1.11 x_{30} & +  1.11 x_{31} & -1.05 x_{28} & -0.51 x_{24} & -0.06 x_{27} & +  0.68 x_{26} & +  0.44 x_{22} & -14.86 x_{14} & +  0.34 x_{16} & -0.36 x_{23} & -1.22 x_{21} & -0.79 x_{17} & -0.31 x_{29}\\
 x_{2}   &  4.39558208733 & -0.06 x_{32} & +  0.75 x_{10} & +  0.03 x_{30} & -0.08 x_{31} & +  0.08 x_{28} & -0.05 x_{24} & -0.01 x_{27} & -0.09 x_{26} & -0.03 x_{22} & +  0.93 x_{14} & -0.01 x_{16} & +  0.06 x_{23} & -0.01 x_{21} & +  0.02 x_{17} & +  0.12 x_{29}\\
 x_{25}   &  27.0374111204 & -2.73 x_{32} & + 27.31 x_{10} & +  0.66 x_{30} & -2.65 x_{31} & +  1.67 x_{28} & -0.44 x_{24} & +  0.51 x_{27} & -1.36 x_{26} & -1.44 x_{22} & + 18.81 x_{14} & +  0.64 x_{16} & +  1.03 x_{23} & +  0.91 x_{21} & +  0.59 x_{17} & +  2.34 x_{29}\\
 x_{19}   &  9.6353750592 & -1.27 x_{32} & + 15.89 x_{10} & +  0.72 x_{30} & -1.06 x_{31} & +  1.32 x_{28} & -0.44 x_{24} & -0.14 x_{27} & -1.49 x_{26} & -0.68 x_{22} & + 20.63 x_{14} & +  0.17 x_{16} & +  0.71 x_{23} & +  0.55 x_{21} & +  1.13 x_{17} & +  1.97 x_{29}\\
 x_{12}   &  1.8845634224 & -0.04 x_{32} & +  0.68 x_{10} & +  0.01 x_{30} & -0.03 x_{31} & +  0.00 x_{28} & +  0.03 x_{24} & -0.03 x_{27} & -0.01 x_{26} & -0.04 x_{22} & +  0.66 x_{14} & +  0.00 x_{16} & +  0.03 x_{23} & +  0.04 x_{21} & +  0.03 x_{17} & +  0.04 x_{29}\\
 x_{6}   &  3.45919353215 & -0.09 x_{32} & +  0.98 x_{10} & +  0.02 x_{30} & -0.13 x_{31} & +  0.09 x_{28} & -0.08 x_{24} & +  0.05 x_{27} & -0.07 x_{26} & -0.07 x_{22} & +  0.28 x_{14} & +  0.04 x_{16} & +  0.02 x_{23} & -0.01 x_{21} & +  0.01 x_{17} & +  0.15 x_{29}\\
 x_{11}   &  2.13525504032 & -0.10 x_{32} & +  1.28 x_{10} & +  0.08 x_{30} & -0.07 x_{31} & +  0.06 x_{28} & +  0.02 x_{24} & +  0.01 x_{27} & -0.05 x_{26} & -0.09 x_{22} & +  0.71 x_{14} & -0.02 x_{16} & +  0.05 x_{23} & +  0.04 x_{21} & +  0.04 x_{17} & +  0.06 x_{29}\\
 x_{13}   &  1.34376592222 & -0.11 x_{32} & +  1.65 x_{10} & +  0.05 x_{30} & -0.14 x_{31} & +  0.06 x_{28} & +  0.01 x_{24} & +  0.01 x_{27} & -0.07 x_{26} & -0.05 x_{22} & +  0.15 x_{14} & -0.01 x_{16} & +  0.04 x_{23} & +  0.01 x_{21} & +  0.04 x_{17} & +  0.08 x_{29}\\
 x_{15}   &  2.45905832061 & -0.07 x_{32} & +  0.91 x_{10} & +  0.04 x_{30} & -0.06 x_{31} & +  0.03 x_{28} & -0.01 x_{24} & +  0.01 x_{27} & -0.02 x_{26} & -0.03 x_{22} & +  0.59 x_{14} & -0.02 x_{16} & +  0.03 x_{23} & +  0.04 x_{21} & +  0.04 x_{17} & +  0.05 x_{29}\\
 x_{4}   &  2.83532558348 & -0.11 x_{32} & +  0.75 x_{10} & +  0.02 x_{30} & -0.10 x_{31} & +  0.08 x_{28} & -0.08 x_{24} & -0.00 x_{27} & -0.06 x_{26} & -0.04 x_{22} & +  1.40 x_{14} & +  0.00 x_{16} & +  0.04 x_{23} & +  0.04 x_{21} & -0.02 x_{17} & +  0.08 x_{29}\\
 x_{8}   &  2.79218224622 & -0.12 x_{32} & +  0.73 x_{10} & +  0.03 x_{30} & -0.10 x_{31} & +  0.07 x_{28} & -0.04 x_{24} & +  0.02 x_{27} & -0.11 x_{26} & -0.05 x_{22} & +  1.19 x_{14} & +  0.00 x_{16} & +  0.03 x_{23} & +  0.03 x_{21} & +  0.02 x_{17} & +  0.13 x_{29}\\
 x_{3}   &  4.48070936667 & -0.09 x_{32} & +  1.20 x_{10} & -0.00 x_{30} & -0.12 x_{31} & +  0.11 x_{28} & -0.06 x_{24} & +  0.02 x_{27} & -0.08 x_{26} & -0.08 x_{22} & -0.16 x_{14} & -0.01 x_{16} & -0.00 x_{23} & +  0.01 x_{21} & +  0.05 x_{17} & +  0.13 x_{29}\\
 x_{5}   &  0.919393120403 & -0.04 x_{32} & +  0.57 x_{10} & +  0.02 x_{30} & -0.09 x_{31} & +  0.08 x_{28} & +  0.00 x_{24} & +  0.03 x_{27} & -0.05 x_{26} & -0.03 x_{22} & -0.08 x_{14} & +  0.01 x_{16} & +  0.03 x_{23} & +  0.03 x_{21} & +  0.01 x_{17} & +  0.08 x_{29}\\
 x_{1}   &  4.78675754282 & -0.04 x_{32} & +  0.04 x_{10} & -0.01 x_{30} & -0.06 x_{31} & +  0.06 x_{28} & -0.07 x_{24} & +  0.05 x_{27} & -0.06 x_{26} & -0.05 x_{22} & -0.08 x_{14} & +  0.01 x_{16} & +  0.03 x_{23} & -0.01 x_{21} & +  0.00 x_{17} & +  0.09 x_{29}\\
\hline
z    &  63.1386370089 & -1.58 x_{32} & + 12.70 x_{10} & +  0.19 x_{30} & -1.42 x_{31} & +  1.21 x_{28} & -1.35 x_{24} & +  0.74 x_{27} & -0.79 x_{26} & -0.94 x_{22} & + 10.36 x_{14} & +  0.21 x_{16} & +  0.40 x_{23} & +  0.47 x_{21} & +  0.06 x_{17} & +  1.84 x_{29}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{20} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{18}   &  108.801495319 & -0.36 x_{32} & -0.39 x_{20} & -0.25 x_{30} & -0.90 x_{31} & +  1.16 x_{28} & -2.18 x_{24} & -0.26 x_{27} & -1.45 x_{26} & -0.74 x_{22} & + 12.84 x_{14} & -0.05 x_{16} & +  0.49 x_{23} & -0.39 x_{21} & -0.18 x_{17} & +  2.00 x_{29}\\
 x_{7}   &  3.39330059391 & -0.04 x_{32} & -0.01 x_{20} & -0.02 x_{30} & -0.02 x_{31} & +  0.03 x_{28} & -0.05 x_{24} & +  0.02 x_{27} & -0.01 x_{26} & -0.00 x_{22} & +  0.65 x_{14} & +  0.03 x_{16} & +  0.02 x_{23} & -0.01 x_{21} & +  0.02 x_{17} & +  0.05 x_{29}\\
 x_{9}   &  6.09371873476 & +  0.05 x_{32} & -0.09 x_{20} & -0.04 x_{30} & -0.05 x_{31} & +  0.03 x_{28} & -0.08 x_{24} & -0.00 x_{27} & -0.08 x_{26} & -0.04 x_{22} & -0.42 x_{14} & +  0.05 x_{16} & +  0.02 x_{23} & -0.08 x_{21} & -0.01 x_{17} & +  0.12 x_{29}\\
 x_{10}   &  0.995110265961 & +  0.10 x_{32} & -0.06 x_{20} & -0.07 x_{30} & +  0.07 x_{31} & -0.06 x_{28} & -0.03 x_{24} & -0.00 x_{27} & +  0.04 x_{26} & +  0.03 x_{22} & -0.88 x_{14} & +  0.02 x_{16} & -0.02 x_{23} & -0.07 x_{21} & -0.05 x_{17} & -0.02 x_{29}\\
 x_{2}   &  5.14018727261 & +  0.01 x_{32} & -0.04 x_{20} & -0.01 x_{30} & -0.04 x_{31} & +  0.04 x_{28} & -0.07 x_{24} & -0.01 x_{27} & -0.06 x_{26} & -0.01 x_{22} & +  0.28 x_{14} & +  0.01 x_{16} & +  0.04 x_{23} & -0.06 x_{21} & -0.02 x_{17} & +  0.10 x_{29}\\
 x_{25}   &  54.218208344 & -0.10 x_{32} & -1.61 x_{20} & -1.13 x_{30} & -0.86 x_{31} & -0.02 x_{28} & -1.26 x_{24} & +  0.41 x_{27} & -0.26 x_{26} & -0.74 x_{22} & -5.10 x_{14} & +  1.19 x_{16} & +  0.46 x_{23} & -1.06 x_{21} & -0.68 x_{17} & +  1.84 x_{29}\\
 x_{19}   &  25.4452673384 & +  0.25 x_{32} & -0.94 x_{20} & -0.32 x_{30} & -0.02 x_{31} & +  0.34 x_{28} & -0.92 x_{24} & -0.20 x_{27} & -0.85 x_{26} & -0.27 x_{22} & +  6.73 x_{14} & +  0.48 x_{16} & +  0.37 x_{23} & -0.60 x_{21} & +  0.39 x_{17} & +  1.68 x_{29}\\
 x_{12}   &  2.5634465286 & +  0.02 x_{32} & -0.04 x_{20} & -0.04 x_{30} & +  0.02 x_{31} & -0.04 x_{28} & +  0.01 x_{24} & -0.03 x_{27} & +  0.02 x_{26} & -0.02 x_{22} & +  0.06 x_{14} & +  0.02 x_{16} & +  0.01 x_{23} & -0.01 x_{21} & -0.00 x_{17} & +  0.02 x_{29}\\
 x_{6}   &  4.43014214892 & +  0.01 x_{32} & -0.06 x_{20} & -0.04 x_{30} & -0.06 x_{31} & +  0.03 x_{28} & -0.11 x_{24} & +  0.05 x_{27} & -0.03 x_{26} & -0.04 x_{22} & -0.57 x_{14} & +  0.06 x_{16} & +  0.00 x_{23} & -0.08 x_{21} & -0.03 x_{17} & +  0.13 x_{29}\\
 x_{11}   &  3.40507885886 & +  0.02 x_{32} & -0.08 x_{20} & -0.01 x_{30} & +  0.02 x_{31} & -0.02 x_{28} & -0.02 x_{24} & +  0.01 x_{27} & +  0.00 x_{26} & -0.05 x_{22} & -0.41 x_{14} & +  0.01 x_{16} & +  0.02 x_{23} & -0.05 x_{21} & -0.02 x_{17} & +  0.04 x_{29}\\
 x_{13}   &  2.98380635808 & +  0.05 x_{32} & -0.10 x_{20} & -0.06 x_{30} & -0.03 x_{31} & -0.04 x_{28} & -0.04 x_{24} & +  0.01 x_{27} & -0.00 x_{26} & -0.00 x_{22} & -1.29 x_{14} & +  0.03 x_{16} & +  0.00 x_{23} & -0.11 x_{21} & -0.04 x_{17} & +  0.05 x_{29}\\
 x_{15}   &  3.36004146823 & +  0.02 x_{32} & -0.05 x_{20} & -0.02 x_{30} & -0.00 x_{31} & -0.03 x_{28} & -0.04 x_{24} & +  0.00 x_{27} & +  0.02 x_{26} & -0.01 x_{22} & -0.21 x_{14} & -0.00 x_{16} & +  0.01 x_{23} & -0.03 x_{21} & -0.00 x_{17} & +  0.03 x_{29}\\
 x_{4}   &  3.58132545058 & -0.03 x_{32} & -0.04 x_{20} & -0.03 x_{30} & -0.05 x_{31} & +  0.03 x_{28} & -0.10 x_{24} & -0.00 x_{27} & -0.03 x_{26} & -0.02 x_{22} & +  0.74 x_{14} & +  0.02 x_{16} & +  0.03 x_{23} & -0.01 x_{21} & -0.05 x_{17} & +  0.07 x_{29}\\
 x_{8}   &  3.52139618383 & -0.05 x_{32} & -0.04 x_{20} & -0.01 x_{30} & -0.05 x_{31} & +  0.03 x_{28} & -0.07 x_{24} & +  0.01 x_{27} & -0.08 x_{26} & -0.03 x_{22} & +  0.55 x_{14} & +  0.02 x_{16} & +  0.01 x_{23} & -0.02 x_{21} & -0.01 x_{17} & +  0.12 x_{29}\\
 x_{3}   &  5.67413481064 & +  0.03 x_{32} & -0.07 x_{20} & -0.08 x_{30} & -0.04 x_{31} & +  0.04 x_{28} & -0.09 x_{24} & +  0.02 x_{27} & -0.03 x_{26} & -0.05 x_{22} & -1.21 x_{14} & +  0.01 x_{16} & -0.03 x_{23} & -0.08 x_{21} & -0.01 x_{17} & +  0.11 x_{29}\\
 x_{5}   &  1.49010328082 & +  0.01 x_{32} & -0.03 x_{20} & -0.01 x_{30} & -0.05 x_{31} & +  0.04 x_{28} & -0.02 x_{24} & +  0.03 x_{27} & -0.03 x_{26} & -0.01 x_{22} & -0.58 x_{14} & +  0.02 x_{16} & +  0.02 x_{23} & -0.01 x_{21} & -0.02 x_{17} & +  0.07 x_{29}\\
 x_{1}   &  4.82755515168 & -0.03 x_{32} & -0.00 x_{20} & -0.01 x_{30} & -0.06 x_{31} & +  0.05 x_{28} & -0.07 x_{24} & +  0.05 x_{27} & -0.05 x_{26} & -0.05 x_{22} & -0.11 x_{14} & +  0.01 x_{16} & +  0.03 x_{23} & -0.01 x_{21} & +  0.00 x_{17} & +  0.09 x_{29}\\
\hline
z    &  75.7747251589 & -0.36 x_{32} & -0.75 x_{20} & -0.65 x_{30} & -0.59 x_{31} & +  0.42 x_{28} & -1.73 x_{24} & +  0.70 x_{27} & -0.28 x_{26} & -0.61 x_{22} & -0.76 x_{14} & +  0.46 x_{16} & +  0.13 x_{23} & -0.45 x_{21} & -0.53 x_{17} & +  1.61 x_{29}\\
\end{array}\]


 $ x_{16} $ enters and $ x_{18} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  2235.21712857 & -7.42 x_{32} & -8.00 x_{20} & -5.11 x_{30} & -18.47 x_{31} & + 23.86 x_{28} & -44.88 x_{24} & -5.34 x_{27} & -29.88 x_{26} & -15.26 x_{22} & + 263.75 x_{14} & -20.54 x_{18} & + 10.16 x_{23} & -8.08 x_{21} & -3.70 x_{17} & + 41.01 x_{29}\\
 x_{7}   &  73.1319777092 & -0.27 x_{32} & -0.26 x_{20} & -0.18 x_{30} & -0.60 x_{31} & +  0.77 x_{28} & -1.45 x_{24} & -0.15 x_{27} & -0.95 x_{26} & -0.48 x_{22} & +  8.87 x_{14} & -0.64 x_{18} & +  0.34 x_{23} & -0.26 x_{21} & -0.10 x_{17} & +  1.33 x_{29}\\
 x_{9}   &  109.482278182 & -0.30 x_{32} & -0.46 x_{20} & -0.28 x_{30} & -0.90 x_{31} & +  1.13 x_{28} & -2.16 x_{24} & -0.25 x_{27} & -1.46 x_{26} & -0.74 x_{22} & + 11.78 x_{14} & -0.95 x_{18} & +  0.49 x_{23} & -0.45 x_{21} & -0.18 x_{17} & +  2.01 x_{29}\\
 x_{10}   &  45.4985408736 & -0.05 x_{32} & -0.22 x_{20} & -0.17 x_{30} & -0.30 x_{31} & +  0.41 x_{28} & -0.92 x_{24} & -0.11 x_{27} & -0.55 x_{26} & -0.28 x_{22} & +  4.38 x_{14} & -0.41 x_{18} & +  0.18 x_{23} & -0.23 x_{21} & -0.12 x_{17} & +  0.80 x_{29}\\
 x_{2}   &  20.987275445 & -0.04 x_{32} & -0.10 x_{20} & -0.05 x_{30} & -0.17 x_{31} & +  0.21 x_{28} & -0.39 x_{24} & -0.05 x_{27} & -0.27 x_{26} & -0.12 x_{22} & +  2.15 x_{14} & -0.15 x_{18} & +  0.12 x_{23} & -0.12 x_{21} & -0.04 x_{17} & +  0.39 x_{29}\\
 x_{25}   &  2709.17520719 & -8.91 x_{32} & -11.11 x_{20} & -7.20 x_{30} & -22.79 x_{31} & + 28.32 x_{28} & -54.57 x_{24} & -5.93 x_{27} & -35.75 x_{26} & -18.86 x_{22} & + 308.18 x_{14} & -24.40 x_{18} & + 12.52 x_{23} & -10.66 x_{21} & -5.08 x_{17} & + 50.56 x_{29}\\
 x_{19}   &  1102.62929943 & -3.32 x_{32} & -4.79 x_{20} & -2.79 x_{30} & -8.92 x_{31} & + 11.84 x_{28} & -22.55 x_{24} & -2.77 x_{27} & -15.25 x_{26} & -7.63 x_{22} & + 133.83 x_{14} & -9.90 x_{18} & +  5.27 x_{23} & -4.49 x_{21} & -1.40 x_{17} & + 21.44 x_{29}\\
 x_{12}   &  39.6839750374 & -0.10 x_{32} & -0.17 x_{20} & -0.12 x_{30} & -0.29 x_{31} & +  0.36 x_{28} & -0.74 x_{24} & -0.12 x_{27} & -0.48 x_{26} & -0.27 x_{22} & +  4.44 x_{14} & -0.34 x_{18} & +  0.18 x_{23} & -0.15 x_{21} & -0.07 x_{17} & +  0.71 x_{29}\\
 x_{6}   &  142.265703022 & -0.45 x_{32} & -0.55 x_{20} & -0.36 x_{30} & -1.20 x_{31} & +  1.50 x_{28} & -2.87 x_{24} & -0.28 x_{27} & -1.87 x_{26} & -0.98 x_{22} & + 15.69 x_{14} & -1.27 x_{18} & +  0.63 x_{23} & -0.58 x_{21} & -0.26 x_{17} & +  2.66 x_{29}\\
 x_{11}   &  20.2150312508 & -0.03 x_{32} & -0.14 x_{20} & -0.05 x_{30} & -0.12 x_{31} & +  0.16 x_{28} & -0.36 x_{24} & -0.03 x_{27} & -0.22 x_{26} & -0.17 x_{22} & +  1.58 x_{14} & -0.15 x_{18} & +  0.10 x_{23} & -0.11 x_{21} & -0.05 x_{17} & +  0.35 x_{29}\\
 x_{13}   &  61.1237217743 & -0.14 x_{32} & -0.31 x_{20} & -0.20 x_{30} & -0.51 x_{31} & +  0.58 x_{28} & -1.21 x_{24} & -0.13 x_{27} & -0.78 x_{26} & -0.40 x_{22} & +  5.57 x_{14} & -0.53 x_{18} & +  0.27 x_{23} & -0.32 x_{21} & -0.14 x_{17} & +  1.12 x_{29}\\
 x_{15}   &  1.56439883857 & +  0.03 x_{32} & -0.05 x_{20} & -0.01 x_{30} & +  0.01 x_{31} & -0.05 x_{28} & -0.00 x_{24} & +  0.01 x_{27} & +  0.04 x_{26} & +  0.00 x_{22} & -0.42 x_{14} & +  0.02 x_{18} & -0.00 x_{23} & -0.02 x_{21} & -0.00 x_{17} & +  0.00 x_{29}\\
 x_{4}   &  39.3415396188 & -0.15 x_{32} & -0.17 x_{20} & -0.11 x_{30} & -0.35 x_{31} & +  0.41 x_{28} & -0.82 x_{24} & -0.09 x_{27} & -0.51 x_{26} & -0.26 x_{22} & +  4.96 x_{14} & -0.33 x_{18} & +  0.19 x_{23} & -0.14 x_{21} & -0.11 x_{17} & +  0.72 x_{29}\\
 x_{8}   &  44.1904158237 & -0.19 x_{32} & -0.19 x_{20} & -0.11 x_{30} & -0.39 x_{31} & +  0.46 x_{28} & -0.88 x_{24} & -0.08 x_{27} & -0.62 x_{26} & -0.31 x_{22} & +  5.35 x_{14} & -0.37 x_{18} & +  0.20 x_{23} & -0.16 x_{21} & -0.08 x_{17} & +  0.87 x_{29}\\
 x_{3}   &  34.1664337558 & -0.06 x_{32} & -0.17 x_{20} & -0.14 x_{30} & -0.27 x_{31} & +  0.34 x_{28} & -0.66 x_{24} & -0.05 x_{27} & -0.41 x_{26} & -0.24 x_{22} & +  2.15 x_{14} & -0.26 x_{18} & +  0.10 x_{23} & -0.18 x_{21} & -0.05 x_{17} & +  0.63 x_{29}\\
 x_{5}   &  51.5481279123 & -0.15 x_{32} & -0.21 x_{20} & -0.13 x_{30} & -0.46 x_{31} & +  0.58 x_{28} & -1.02 x_{24} & -0.09 x_{27} & -0.70 x_{26} & -0.36 x_{22} & +  5.32 x_{14} & -0.46 x_{18} & +  0.24 x_{23} & -0.20 x_{21} & -0.10 x_{17} & +  0.98 x_{29}\\
 x_{1}   &  22.9151778657 & -0.09 x_{32} & -0.07 x_{20} & -0.06 x_{30} & -0.21 x_{31} & +  0.25 x_{28} & -0.43 x_{24} & +  0.01 x_{27} & -0.30 x_{26} & -0.18 x_{22} & +  2.02 x_{14} & -0.17 x_{18} & +  0.12 x_{23} & -0.08 x_{21} & -0.03 x_{17} & +  0.42 x_{29}\\
\hline
z    &  1102.14902011 & -3.76 x_{32} & -4.42 x_{20} & -2.99 x_{30} & -9.07 x_{31} & + 11.38 x_{28} & -22.34 x_{24} & -1.75 x_{27} & -14.00 x_{26} & -7.62 x_{22} & + 120.35 x_{14} & -9.43 x_{18} & +  4.79 x_{23} & -4.16 x_{21} & -2.23 x_{17} & + 20.44 x_{29}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{15} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  3220.16579059 & +  8.77 x_{32} & -37.54 x_{20} & -12.00 x_{30} & -11.24 x_{31} & -6.50 x_{28} & -47.65 x_{24} & -0.55 x_{27} & -4.16 x_{26} & -14.13 x_{22} & -629.60 x_{15} & -10.15 x_{18} & +  9.14 x_{23} & -20.96 x_{21} & -4.13 x_{17} & + 41.21 x_{29}\\
 x_{7}   &  106.271581791 & +  0.28 x_{32} & -1.25 x_{20} & -0.42 x_{30} & -0.35 x_{31} & -0.25 x_{28} & -1.54 x_{24} & +  0.01 x_{27} & -0.08 x_{26} & -0.44 x_{22} & -21.18 x_{15} & -0.29 x_{18} & +  0.30 x_{23} & -0.69 x_{21} & -0.11 x_{17} & +  1.34 x_{29}\\
 x_{9}   &  153.480608159 & +  0.43 x_{32} & -1.78 x_{20} & -0.59 x_{30} & -0.58 x_{31} & -0.22 x_{28} & -2.28 x_{24} & -0.04 x_{27} & -0.31 x_{26} & -0.69 x_{22} & -28.12 x_{15} & -0.49 x_{18} & +  0.44 x_{23} & -1.03 x_{21} & -0.20 x_{17} & +  2.02 x_{29}\\
 x_{10}   &  61.840477053 & +  0.22 x_{32} & -0.71 x_{20} & -0.28 x_{30} & -0.18 x_{31} & -0.09 x_{28} & -0.97 x_{24} & -0.03 x_{27} & -0.13 x_{26} & -0.26 x_{22} & -10.45 x_{15} & -0.24 x_{18} & +  0.16 x_{23} & -0.45 x_{21} & -0.13 x_{17} & +  0.80 x_{29}\\
 x_{2}   &  29.00613889 & +  0.09 x_{32} & -0.34 x_{20} & -0.11 x_{30} & -0.11 x_{31} & -0.04 x_{28} & -0.41 x_{24} & -0.01 x_{27} & -0.06 x_{26} & -0.11 x_{22} & -5.13 x_{15} & -0.06 x_{18} & +  0.11 x_{23} & -0.22 x_{21} & -0.05 x_{17} & +  0.39 x_{29}\\
 x_{25}   &  3860.05170924 & + 10.00 x_{32} & -45.63 x_{20} & -15.25 x_{30} & -14.35 x_{31} & -7.16 x_{28} & -57.81 x_{24} & -0.34 x_{27} & -5.70 x_{26} & -17.54 x_{22} & -735.67 x_{15} & -12.26 x_{18} & + 11.34 x_{23} & -25.71 x_{21} & -5.58 x_{17} & + 50.79 x_{29}\\
 x_{19}   &  1602.41241907 & +  4.89 x_{32} & -19.78 x_{20} & -6.28 x_{30} & -5.26 x_{31} & -3.57 x_{28} & -23.95 x_{24} & -0.34 x_{27} & -2.20 x_{26} & -7.06 x_{22} & -319.47 x_{15} & -4.63 x_{18} & +  4.75 x_{23} & -11.03 x_{21} & -1.62 x_{17} & + 21.55 x_{29}\\
 x_{12}   &  56.2605076308 & +  0.17 x_{32} & -0.67 x_{20} & -0.24 x_{30} & -0.17 x_{31} & -0.16 x_{28} & -0.79 x_{24} & -0.04 x_{27} & -0.04 x_{26} & -0.25 x_{22} & -10.60 x_{15} & -0.17 x_{18} & +  0.16 x_{23} & -0.36 x_{21} & -0.07 x_{17} & +  0.71 x_{29}\\
 x_{6}   &  200.86581213 & +  0.51 x_{32} & -2.31 x_{20} & -0.77 x_{30} & -0.77 x_{31} & -0.30 x_{28} & -3.04 x_{24} & +  0.00 x_{27} & -0.34 x_{26} & -0.92 x_{22} & -37.46 x_{15} & -0.65 x_{18} & +  0.57 x_{23} & -1.35 x_{21} & -0.29 x_{17} & +  2.67 x_{29}\\
 x_{11}   &  26.1018790931 & +  0.06 x_{32} & -0.31 x_{20} & -0.09 x_{30} & -0.08 x_{31} & -0.02 x_{28} & -0.38 x_{24} & -0.00 x_{27} & -0.07 x_{26} & -0.16 x_{22} & -3.76 x_{15} & -0.09 x_{18} & +  0.09 x_{23} & -0.19 x_{21} & -0.05 x_{17} & +  0.35 x_{29}\\
 x_{13}   &  81.9154418508 & +  0.20 x_{32} & -0.93 x_{20} & -0.34 x_{30} & -0.36 x_{31} & -0.06 x_{28} & -1.26 x_{24} & -0.03 x_{27} & -0.24 x_{26} & -0.38 x_{22} & -13.29 x_{15} & -0.32 x_{18} & +  0.24 x_{23} & -0.59 x_{21} & -0.14 x_{17} & +  1.12 x_{29}\\
 x_{14}   &  3.73442601938 & +  0.06 x_{32} & -0.11 x_{20} & -0.03 x_{30} & +  0.03 x_{31} & -0.12 x_{28} & -0.01 x_{24} & +  0.02 x_{27} & +  0.10 x_{26} & +  0.00 x_{22} & -2.39 x_{15} & +  0.04 x_{18} & -0.00 x_{23} & -0.05 x_{21} & -0.00 x_{17} & +  0.00 x_{29}\\
 x_{4}   &  57.8806889801 & +  0.15 x_{32} & -0.73 x_{20} & -0.24 x_{30} & -0.21 x_{31} & -0.16 x_{28} & -0.87 x_{24} & +  0.00 x_{27} & -0.03 x_{26} & -0.24 x_{22} & -11.85 x_{15} & -0.13 x_{18} & +  0.17 x_{23} & -0.38 x_{21} & -0.12 x_{17} & +  0.73 x_{29}\\
 x_{8}   &  64.1678258563 & +  0.14 x_{32} & -0.79 x_{20} & -0.25 x_{30} & -0.24 x_{31} & -0.15 x_{28} & -0.94 x_{24} & +  0.01 x_{27} & -0.10 x_{26} & -0.29 x_{22} & -12.77 x_{15} & -0.16 x_{18} & +  0.18 x_{23} & -0.43 x_{21} & -0.09 x_{17} & +  0.87 x_{29}\\
 x_{3}   &  42.1979791808 & +  0.07 x_{32} & -0.41 x_{20} & -0.20 x_{30} & -0.21 x_{31} & +  0.09 x_{28} & -0.69 x_{24} & -0.01 x_{27} & -0.20 x_{26} & -0.23 x_{22} & -5.13 x_{15} & -0.18 x_{18} & +  0.09 x_{23} & -0.29 x_{21} & -0.06 x_{17} & +  0.63 x_{29}\\
 x_{5}   &  71.4328428417 & +  0.18 x_{32} & -0.81 x_{20} & -0.27 x_{30} & -0.32 x_{31} & -0.04 x_{28} & -1.08 x_{24} & +  0.01 x_{27} & -0.18 x_{26} & -0.33 x_{22} & -12.71 x_{15} & -0.25 x_{18} & +  0.22 x_{23} & -0.46 x_{21} & -0.11 x_{17} & +  0.99 x_{29}\\
 x_{1}   &  30.467946855 & +  0.03 x_{32} & -0.29 x_{20} & -0.11 x_{30} & -0.15 x_{31} & +  0.01 x_{28} & -0.46 x_{24} & +  0.05 x_{27} & -0.10 x_{26} & -0.17 x_{22} & -4.83 x_{15} & -0.09 x_{18} & +  0.11 x_{23} & -0.17 x_{21} & -0.03 x_{17} & +  0.42 x_{29}\\
\hline
z    &  1551.59397874 & +  3.62 x_{32} & -17.90 x_{20} & -6.14 x_{30} & -5.78 x_{31} & -2.48 x_{28} & -23.61 x_{24} & +  0.43 x_{27} & -2.27 x_{26} & -7.10 x_{22} & -287.30 x_{15} & -4.69 x_{18} & +  4.33 x_{23} & -10.03 x_{21} & -2.42 x_{17} & + 20.53 x_{29}\\
\end{array}\]


 $ x_{23} $ enters and $ x_{14} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  12090.3410929 & + 154.52 x_{32} & -303.54 x_{20} & -74.03 x_{30} & + 53.80 x_{31} & -279.96 x_{28} & -72.61 x_{24} & + 42.55 x_{27} & + 227.45 x_{26} & -4.00 x_{22} & -6299.62 x_{15} & + 83.42 x_{18} & -2375.24 x_{14} & -136.98 x_{21} & -7.97 x_{17} & + 43.03 x_{29}\\
 x_{7}   &  398.951521549 & +  5.09 x_{32} & -10.03 x_{20} & -2.46 x_{30} & +  1.79 x_{31} & -9.27 x_{28} & -2.36 x_{24} & +  1.44 x_{27} & +  7.56 x_{26} & -0.11 x_{22} & -208.27 x_{15} & +  2.80 x_{18} & -78.37 x_{14} & -4.52 x_{21} & -0.24 x_{17} & +  1.40 x_{29}\\
 x_{9}   &  581.131342966 & +  7.45 x_{32} & -14.61 x_{20} & -3.58 x_{30} & +  2.56 x_{31} & -13.41 x_{28} & -3.48 x_{24} & +  2.04 x_{27} & + 10.85 x_{26} & -0.20 x_{22} & -301.49 x_{15} & +  4.03 x_{18} & -114.52 x_{14} & -6.62 x_{21} & -0.39 x_{17} & +  2.11 x_{29}\\
 x_{10}   &  221.248816318 & +  2.84 x_{32} & -5.49 x_{20} & -1.40 x_{30} & +  0.99 x_{31} & -5.01 x_{28} & -1.42 x_{24} & +  0.74 x_{27} & +  4.03 x_{26} & -0.08 x_{22} & -112.34 x_{15} & +  1.45 x_{18} & -42.69 x_{14} & -2.53 x_{21} & -0.20 x_{17} & +  0.83 x_{29}\\
 x_{2}   &  132.690028665 & +  1.80 x_{32} & -3.45 x_{20} & -0.83 x_{30} & +  0.65 x_{31} & -3.24 x_{28} & -0.70 x_{24} & +  0.49 x_{27} & +  2.65 x_{26} & +  0.00 x_{22} & -71.40 x_{15} & +  1.03 x_{18} & -27.76 x_{14} & -1.58 x_{21} & -0.09 x_{17} & +  0.42 x_{29}\\
 x_{25}   &  14858.8788853 & + 190.73 x_{32} & -375.46 x_{20} & -92.17 x_{30} & + 66.30 x_{31} & -346.24 x_{28} & -88.76 x_{24} & + 53.11 x_{27} & + 281.49 x_{26} & -4.98 x_{22} & -7766.37 x_{15} & + 103.77 x_{18} & -2945.25 x_{14} & -169.57 x_{21} & -10.34 x_{17} & + 53.04 x_{29}\\
 x_{19}   &  6213.32922342 & + 80.66 x_{32} & -158.05 x_{20} & -38.53 x_{30} & + 28.55 x_{31} & -145.72 x_{28} & -36.93 x_{24} & + 22.07 x_{27} & + 118.20 x_{26} & -1.79 x_{22} & -3266.88 x_{15} & + 44.02 x_{18} & -1234.71 x_{14} & -71.34 x_{21} & -3.61 x_{17} & + 22.49 x_{29}\\
 x_{12}   &  214.002213185 & +  2.77 x_{32} & -5.40 x_{20} & -1.34 x_{30} & +  0.99 x_{31} & -5.02 x_{28} & -1.23 x_{24} & +  0.73 x_{27} & +  4.07 x_{26} & -0.07 x_{22} & -111.43 x_{15} & +  1.50 x_{18} & -42.24 x_{14} & -2.43 x_{21} & -0.14 x_{17} & +  0.74 x_{29}\\
 x_{6}   &  751.508652577 & +  9.56 x_{32} & -18.82 x_{20} & -4.62 x_{30} & +  3.26 x_{31} & -17.28 x_{28} & -4.59 x_{24} & +  2.68 x_{27} & + 14.04 x_{26} & -0.29 x_{22} & -389.44 x_{15} & +  5.16 x_{18} & -147.45 x_{14} & -8.55 x_{21} & -0.53 x_{17} & +  2.78 x_{29}\\
 x_{11}   &  114.336259353 & +  1.51 x_{32} & -2.96 x_{20} & -0.70 x_{30} & +  0.57 x_{31} & -2.74 x_{28} & -0.63 x_{24} & +  0.42 x_{27} & +  2.23 x_{26} & -0.06 x_{22} & -60.16 x_{15} & +  0.84 x_{18} & -23.63 x_{14} & -1.34 x_{21} & -0.09 x_{17} & +  0.37 x_{29}\\
 x_{13}   &  319.553423896 & +  4.10 x_{32} & -8.06 x_{20} & -2.00 x_{30} & +  1.39 x_{31} & -7.39 x_{28} & -1.93 x_{24} & +  1.12 x_{27} & +  5.97 x_{26} & -0.11 x_{22} & -165.19 x_{15} & +  2.19 x_{18} & -63.63 x_{14} & -3.70 x_{21} & -0.25 x_{17} & +  1.17 x_{29}\\
 x_{23}   &  970.166032262 & + 15.94 x_{32} & -29.09 x_{20} & -6.78 x_{30} & +  7.11 x_{31} & -29.91 x_{28} & -2.73 x_{24} & +  4.71 x_{27} & + 25.33 x_{26} & +  1.11 x_{22} & -620.15 x_{15} & + 10.23 x_{18} & -259.79 x_{14} & -12.69 x_{21} & -0.42 x_{17} & +  0.20 x_{29}\\
 x_{4}   &  224.902551671 & +  2.90 x_{32} & -5.74 x_{20} & -1.41 x_{30} & +  1.01 x_{31} & -5.31 x_{28} & -1.34 x_{24} & +  0.81 x_{27} & +  4.33 x_{26} & -0.05 x_{22} & -118.61 x_{15} & +  1.63 x_{18} & -44.72 x_{14} & -2.57 x_{21} & -0.19 x_{17} & +  0.76 x_{29}\\
 x_{8}   &  234.896399486 & +  2.95 x_{32} & -5.91 x_{20} & -1.44 x_{30} & +  1.01 x_{31} & -5.42 x_{28} & -1.42 x_{24} & +  0.84 x_{27} & +  4.36 x_{26} & -0.09 x_{22} & -121.90 x_{15} & +  1.64 x_{18} & -45.72 x_{14} & -2.66 x_{21} & -0.16 x_{17} & +  0.90 x_{29}\\
 x_{3}   &  130.662685917 & +  1.52 x_{32} & -3.07 x_{20} & -0.82 x_{30} & +  0.43 x_{31} & -2.63 x_{28} & -0.94 x_{24} & +  0.42 x_{27} & +  2.11 x_{26} & -0.13 x_{22} & -61.68 x_{15} & +  0.76 x_{18} & -23.69 x_{14} & -1.44 x_{21} & -0.10 x_{17} & +  0.65 x_{29}\\
 x_{5}   &  287.262423096 & +  3.72 x_{32} & -7.28 x_{20} & -1.78 x_{30} & +  1.27 x_{31} & -6.69 x_{28} & -1.68 x_{24} & +  1.06 x_{27} & +  5.46 x_{26} & -0.09 x_{22} & -150.67 x_{15} & +  2.03 x_{18} & -57.79 x_{14} & -3.28 x_{21} & -0.20 x_{17} & +  1.03 x_{29}\\
 x_{1}   &  135.653786192 & +  1.76 x_{32} & -3.45 x_{20} & -0.84 x_{30} & +  0.62 x_{31} & -3.23 x_{28} & -0.75 x_{24} & +  0.56 x_{27} & +  2.65 x_{26} & -0.05 x_{22} & -72.07 x_{15} & +  1.02 x_{18} & -28.17 x_{14} & -1.55 x_{21} & -0.08 x_{17} & +  0.45 x_{29}\\
\hline
z    &  5751.96317978 & + 72.64 x_{32} & -143.86 x_{20} & -35.51 x_{30} & + 25.03 x_{31} & -131.97 x_{28} & -35.43 x_{24} & + 20.85 x_{27} & + 107.41 x_{26} & -2.30 x_{22} & -2972.27 x_{15} & + 39.62 x_{18} & -1124.77 x_{14} & -64.97 x_{21} & -4.24 x_{17} & + 21.39 x_{29}\\
\end{array}\]


 $ x_{18} $ enters and Unbounded Dictionary!


 $ x_{18} $ enters and Unbounded Dictionary!
\end{document}
